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100113221231307 = 33318310713468031
BaseRepresentation
bin10110110000110101101100…
…111111010010001011001011
3111010110201201112001000022000
4112300311230333102023023
5101110223334113400212
6552531213502402043
730041640643550514
oct2660655477221313
9433421645030260
10100113221231307
1129998862491019
12b28a743290323
1343b2836b0637b
141aa1711b49a0b
15b892945ab1dc
hex5b0d6cfd22cb

100113221231307 has 64 divisors (see below), whose sum is σ = 156392942469120. Its totient is φ = 63214623050400.

The previous prime is 100113221231299. The next prime is 100113221231327. The reversal of 100113221231307 is 703132122311001.

100113221231307 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 322 + 1 + 2 + 31 + 307 = 666.

It is not a de Polignac number, because 100113221231307 - 23 = 100113221231299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100113221231327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 699382 + ... + 14167412.

It is an arithmetic number, because the mean of its divisors is an integer number (2443639726080).

Almost surely, 2100113221231307 is an apocalyptic number.

100113221231307 is a deficient number, since it is larger than the sum of its proper divisors (56279721237813).

100113221231307 is a wasteful number, since it uses less digits than its factorization.

100113221231307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13468261 (or 13468255 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 100113221231307 its reverse (703132122311001), we get a palindrome (803245343542308).

The spelling of 100113221231307 in words is "one hundred trillion, one hundred thirteen billion, two hundred twenty-one million, two hundred thirty-one thousand, three hundred seven".

Divisors: 1 3 9 27 31 83 93 107 249 279 321 747 837 963 2241 2573 2889 3317 7719 8881 9951 23157 26643 29853 69471 79929 89559 239787 275311 825933 2477799 7433397 13468031 40404093 121212279 363636837 417508961 1117846573 1252526883 1441079317 3353539719 3757580649 4323237951 10060619157 11272741947 12969713853 30181857471 34653243763 38909141559 44673458827 103959731289 119609583311 134020376481 311879193867 358828749933 402061129443 935637581601 1076486249799 1206183388329 3229458749397 3707897082641 11123691247923 33371073743769 100113221231307