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13100232232032 = 2531154722679201
BaseRepresentation
bin1011111010100010001010…
…1100000100110001100000
31201101100222201010110222120
42332220202230010301200
53204113233422411112
643510055201104240
72521313652460251
oct276504254046140
951340881113876
1013100232232032
1141a08606331a0
121576ab5328080
1374046762905a
143340a9c58b28
1517ab78e95e8c
hexbea22b04c60

13100232232032 has 96 divisors (see below), whose sum is σ = 37582884952704. Its totient is φ = 3962509824000.

The previous prime is 13100232232013. The next prime is 13100232232039. The reversal of 13100232232032 is 23023223200131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13100232231993 and 13100232232011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100232232039) 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, 10761969 + ... + 11917232.

It is an arithmetic number, because the mean of its divisors is an integer number (391488384924).

Almost surely, 213100232232032 is an apocalyptic number.

13100232232032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13100232232032 is an abundant number, since it is smaller than the sum of its proper divisors (24482652720672).

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

13100232232032 is a wasteful number, since it uses less digits than its factorization.

13100232232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22679772 (or 22679764 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13100232232032 its reverse (23023223200131), we get a palindrome (36123455432163).

The spelling of 13100232232032 in words is "thirteen trillion, one hundred billion, two hundred thirty-two million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 547 1056 1094 1641 2188 3282 4376 6017 6564 8752 12034 13128 17504 18051 24068 26256 36102 48136 52512 72204 96272 144408 192544 288816 577632 22679201 45358402 68037603 90716804 136075206 181433608 249471211 272150412 362867216 498942422 544300824 725734432 748413633 997884844 1088601648 1496827266 1995769688 2177203296 2993654532 3991539376 5987309064 7983078752 11974618128 12405522947 23949236256 24811045894 37216568841 49622091788 74433137682 99244183576 136460752417 148866275364 198488367152 272921504834 297732550728 396976734304 409382257251 545843009668 595465101456 818764514502 1091686019336 1190930202912 1637529029004 2183372038672 3275058058008 4366744077344 6550116116016 13100232232032