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1133232120 = 233451013463
BaseRepresentation
bin100001110001011…
…1011111111111000
32220222101011020000
41003202323333320
54310101411440
6304241033000
740040212506
oct10342737770
92828334200
101133232120
11531753079
12277625760
13150a17b67
14aa70d676
156974c730
hex438bbff8

1133232120 has 160 divisors (see below), whose sum is σ = 3847741920. Its totient is φ = 299116800.

The previous prime is 1133232097. The next prime is 1133232151. The reversal of 1133232120 is 212323311.

1133232120 is a `hidden beast` number, since 11 + 332 + 321 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1133232093 and 1133232102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 325509 + ... + 328971.

It is an arithmetic number, because the mean of its divisors is an integer number (24048387).

Almost surely, 21133232120 is an apocalyptic number.

1133232120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923870960).

1133232120 is an abundant number, since it is smaller than the sum of its proper divisors (2714509800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1133232120 is a wasteful number, since it uses less digits than its factorization.

1133232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1133232120 is about 33663.5131856436. The cubic root of 1133232120 is about 1042.5725636567.

Adding to 1133232120 its reverse (212323311), we get a palindrome (1345555431).

The spelling of 1133232120 in words is "one billion, one hundred thirty-three million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 101 108 120 135 162 180 202 216 270 303 324 360 404 405 505 540 606 648 808 810 909 1010 1080 1212 1515 1620 1818 2020 2424 2727 3030 3240 3463 3636 4040 4545 5454 6060 6926 7272 8181 9090 10389 10908 12120 13635 13852 16362 17315 18180 20778 21816 27270 27704 31167 32724 34630 36360 40905 41556 51945 54540 62334 65448 69260 81810 83112 93501 103890 109080 124668 138520 155835 163620 187002 207780 249336 280503 311670 327240 349763 374004 415560 467505 561006 623340 699526 748008 935010 1049289 1122012 1246680 1399052 1402515 1748815 1870020 2098578 2244024 2798104 2805030 3147867 3497630 3740040 4197156 5246445 5610060 6295734 6995260 8394312 9443601 10492890 11220120 12591468 13990520 15739335 18887202 20985780 25182936 28330803 31478670 37774404 41971560 47218005 56661606 62957340 75548808 94436010 113323212 125914680 141654015 188872020 226646424 283308030 377744040 566616060 1133232120