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2133231120 = 24335987607
BaseRepresentation
bin111111100100110…
…1000011000010000
312111200001100222000
41333021220120100
513332101343440
6551402314000
7103602110466
oct17711503020
95450040860
102133231120
119a5176129
124b64b8900
1327cc54747
1416345a836
15c742d730
hex7f268610

2133231120 has 80 divisors (see below), whose sum is σ = 7347803520. Its totient is φ = 568861056.

The previous prime is 2133231109. The next prime is 2133231169. The reversal of 2133231120 is 211323312.

2133231120 is a `hidden beast` number, since 2 + 1 + 332 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21332311202 = 9101350022672908800, which contains 22 as substring.

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 = 2133231093 and 2133231102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491644 + ... + 495963.

It is an arithmetic number, because the mean of its divisors is an integer number (91847544).

Almost surely, 22133231120 is an apocalyptic number.

2133231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133231120 is an abundant number, since it is smaller than the sum of its proper divisors (5214572400).

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

2133231120 is a wasteful number, since it uses less digits than its factorization.

2133231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987629 (or 987617 counting only the distinct ones).

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

The square root of 2133231120 is about 46186.9150301251. The cubic root of 2133231120 is about 1287.2986195857.

Adding to 2133231120 its reverse (211323312), we get a palindrome (2344554432).

The spelling of 2133231120 in words is "two billion, one hundred thirty-three million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 987607 1975214 2962821 3950428 4938035 5925642 7900856 8888463 9876070 11851284 14814105 15801712 17776926 19752140 23702568 26665389 29628210 35553852 39504280 44442315 47405136 53330778 59256420 71107704 79008560 88884630 106661556 118512840 133326945 142215408 177769260 213323112 237025680 266653890 355538520 426646224 533307780 711077040 1066615560 2133231120