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1130203332 = 22323137101271
BaseRepresentation
bin100001101011101…
…1000100011000100
32220202200021111200
41003113120203010
54303313001312
6304052102500
740002366306
oct10327304304
92822607450
101130203332
1152aa74545
12276604a30
131501c738b
14aa161976
15693500dc
hex435d88c4

1130203332 has 144 divisors (see below), whose sum is σ = 3070040064. Its totient is φ = 349920000.

The previous prime is 1130203297. The next prime is 1130203337. The reversal of 1130203332 is 2333020311.

1130203332 is a `hidden beast` number, since 1 + 130 + 203 + 332 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1130203337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4170357 + ... + 4170627.

Almost surely, 21130203332 is an apocalyptic number.

1130203332 is a gapful number since it is divisible by the number (12) 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 1130203332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535020032).

1130203332 is an abundant number, since it is smaller than the sum of its proper divisors (1939836732).

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

1130203332 is a wasteful number, since it uses less digits than its factorization.

1130203332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1130203332 is about 33618.4968730013. The cubic root of 1130203332 is about 1041.6429074929.

Adding to 1130203332 its reverse (2333020311), we get a palindrome (3463223643).

The spelling of 1130203332 in words is "one billion, one hundred thirty million, two hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 101 111 124 148 186 202 222 271 279 303 333 372 404 444 542 558 606 666 813 909 1084 1116 1147 1212 1332 1626 1818 2294 2439 3131 3252 3441 3636 3737 4588 4878 6262 6882 7474 8401 9393 9756 10027 10323 11211 12524 13764 14948 16802 18786 20054 20646 22422 25203 27371 28179 30081 33604 33633 37572 40108 41292 44844 50406 54742 56358 60162 67266 75609 82113 90243 100812 109484 112716 115847 120324 134532 151218 164226 180486 231694 246339 302436 310837 328452 347541 360972 463388 492678 621674 695082 848501 932511 985356 1012727 1042623 1243348 1390164 1697002 1865022 2025454 2085246 2545503 2797533 3038181 3394004 3730044 4050908 4170492 5091006 5595066 6076362 7636509 9114543 10182012 11190132 12152724 15273018 18229086 30546036 31394537 36458172 62789074 94183611 125578148 188367222 282550833 376734444 565101666 1130203332