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13031102232 = 2333547110291
BaseRepresentation
bin11000010001011011…
…01101011100011000
31020122011022120201000
430020231231130120
5203141430232412
65553021425000
7640631353461
oct141055553430
936564276630
1013031102232
115587798a85
12263810b160
1312c89715a5
148b8943d68
155140474dc
hex308b6d718

13031102232 has 64 divisors (see below), whose sum is σ = 36264009600. Its totient is φ = 4335720480.

The previous prime is 13031102197. The next prime is 13031102233. The reversal of 13031102232 is 23220113031.

13031102232 is a `hidden beast` number, since 130 + 311 + 0 + 223 + 2 = 666.

It is a super-3 number, since 3×130311022323 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031102233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63007 + ... + 173297.

It is an arithmetic number, because the mean of its divisors is an integer number (566625150).

Almost surely, 213031102232 is an apocalyptic number.

13031102232 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 13031102232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18132004800).

13031102232 is an abundant number, since it is smaller than the sum of its proper divisors (23232907368).

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

13031102232 is a wasteful number, since it uses less digits than its factorization.

13031102232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110853 (or 110843 counting only the distinct ones).

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

Adding to 13031102232 its reverse (23220113031), we get a palindrome (36251215263).

The spelling of 13031102232 in words is "thirteen billion, thirty-one million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 547 1094 1641 2188 3282 4376 4923 6564 9846 13128 14769 19692 29538 39384 59076 110291 118152 220582 330873 441164 661746 882328 992619 1323492 1985238 2646984 2977857 3970476 5955714 7940952 11911428 23822856 60329177 120658354 180987531 241316708 361975062 482633416 542962593 723950124 1085925186 1447900248 1628887779 2171850372 3257775558 4343700744 6515551116 13031102232