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13101332312232 = 23324331086738671
BaseRepresentation
bin1011111010100110010001…
…0000100011000010101000
31201101110211101010100022200
42332221210100203002220
53204123012032442412
643510400255420200
72521353141136203
oct276514420430250
951343741110280
1013101332312232
1141a12755a278a
121577161824660
137405b1507398
14334171db893a
1517abe08459dc
hexbea644230a8

13101332312232 has 96 divisors (see below), whose sum is σ = 35568913860480. Its totient is φ = 4356511464960.

The previous prime is 13101332312221. The next prime is 13101332312279. The reversal of 13101332312232 is 23221323310131.

13101332312232 is a `hidden beast` number, since 1 + 3 + 10 + 1 + 332 + 312 + 2 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13101332312196 and 13101332312205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338770257 + ... + 338808927.

It is an arithmetic number, because the mean of its divisors is an integer number (370509519380).

Almost surely, 213101332312232 is an apocalyptic number.

13101332312232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13101332312232 is an abundant number, since it is smaller than the sum of its proper divisors (22467581548248).

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

13101332312232 is a wasteful number, since it uses less digits than its factorization.

13101332312232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49983 (or 49976 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13101332312232 its reverse (23221323310131), we get a palindrome (36322655622363).

The spelling of 13101332312232 in words is "thirteen trillion, one hundred one billion, three hundred thirty-two million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 433 866 1299 1732 2598 3464 3897 5196 7794 10392 10867 15588 21734 31176 32601 38671 43468 65202 77342 86936 97803 116013 130404 154684 195606 232026 260808 309368 348039 391212 464052 696078 782424 928104 1392156 2784312 4705411 9410822 14116233 16744543 18821644 28232466 33489086 37643288 42348699 50233629 56464932 66978172 84697398 100467258 112929864 133956344 150700887 169394796 200934516 301401774 338789592 401869032 420237757 602803548 840475514 1205607096 1260713271 1680951028 2521426542 3361902056 3782139813 5042853084 7564279626 10085706168 15128559252 30257118504 181962948781 363925897562 545888846343 727851795124 1091777692686 1455703590248 1637666539029 2183555385372 3275333078058 4367110770744 6550666156116 13101332312232