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231300223132121 = 11313233141457279
BaseRepresentation
bin110100100101110111000111…
…101000101110000111011001
31010022222002022020112120000022
4310211313013220232013121
5220304110324110211441
62135533504450520225
766501614103205403
oct6445670750560731
91108862266476008
10231300223132121
1167776967a79000
1221b37648896075
139c0a695abb7b0
144118dc203db73
151bb19b266684b
hexd25dc7a2e1d9

231300223132121 has 128 divisors (see below), whose sum is σ = 302316485345280. Its totient is φ = 175287461184000.

The previous prime is 231300223132093. The next prime is 231300223132159. The reversal of 231300223132121 is 121231322003132.

It is not a de Polignac number, because 231300223132121 - 226 = 231300156023257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231300223162121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 505589960 + ... + 506047238.

It is an arithmetic number, because the mean of its divisors is an integer number (2361847541760).

Almost surely, 2231300223132121 is an apocalyptic number.

It is an amenable number.

231300223132121 is a deficient number, since it is larger than the sum of its proper divisors (71016262213159).

231300223132121 is a wasteful number, since it uses less digits than its factorization.

231300223132121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457420 (or 457398 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 231300223132121 its reverse (121231322003132), we get a palindrome (352531545135253).

The spelling of 231300223132121 in words is "two hundred thirty-one trillion, three hundred billion, two hundred twenty-three million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 11 13 23 31 41 121 143 253 299 341 403 451 533 713 943 1271 1331 1573 2783 3289 3751 4433 4961 5863 7843 9269 10373 12259 13981 16523 17303 29233 30613 36179 41261 48763 54571 64493 86273 101959 114103 134849 153791 181753 321563 380029 397969 457279 536393 709423 949003 1121549 1255133 1483339 1691701 1999283 3537193 4180319 5030069 5944627 10517417 12337039 14175649 16316729 18748439 21992113 38909123 45983509 55330759 65390897 115691587 136726421 155932139 184283437 206232829 243729707 326039927 431214097 505818599 581201609 608638349 719299867 1272607457 1503990631 1715253529 2027117807 2268561119 2681026777 3586439197 4238519051 4743355067 5605783261 6393217699 7555620917 7912298537 13367637007 13998682027 16543896941 18867788819 22298295877 24954172309 29491294547 39450831167 46623709561 52176905737 61663615871 70325394689 83111830087 147044007077 173779281091 181982866351 245281254647 324404240017 433959142837 512860805171 573945963107 678299774581 773579341579 914230130957 1617484077847 1911572092001 5641468856881 7461297520391 10056531440527 17792324856317 21027293012011 231300223132121