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21111312033231 = 3724179317139871
BaseRepresentation
bin1001100110011010111000…
…10000010010010111001111
32202202012222122010002202020
410303031130100102113033
510231341431340030411
6112522223003501223
74306145664320100
oct463153420222717
982665878102666
1021111312033231
1167aa2912aa022
12244b61b827813
13ba1a328385a4
1452db15c1c3a7
152692489b0606
hex13335c4125cf

21111312033231 has 96 divisors (see below), whose sum is σ = 34074699079680. Its totient is φ = 11583652953600.

The previous prime is 21111312033199. The next prime is 21111312033271. The reversal of 21111312033231 is 13233021311112.

It is not a de Polignac number, because 21111312033231 - 25 = 21111312033199 is a prime.

It is a super-2 number, since 2×211113120332312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111312033271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150864226 + ... + 151004096.

It is an arithmetic number, because the mean of its divisors is an integer number (354944782080).

Almost surely, 221111312033231 is an apocalyptic number.

21111312033231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21111312033231 is a deficient number, since it is larger than the sum of its proper divisors (12963387046449).

21111312033231 is a wasteful number, since it uses less digits than its factorization.

21111312033231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140325 (or 140318 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 21111312033231 its reverse (13233021311112), we get a palindrome (34344333344343).

The spelling of 21111312033231 in words is "twenty-one trillion, one hundred eleven billion, three hundred twelve million, thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 21 41 49 79 123 147 237 287 317 553 861 951 1659 2009 2219 3239 3871 6027 6657 9717 11613 12997 15533 22673 25043 38991 46599 68019 75129 90979 139871 158711 175301 272937 419613 476133 525903 636853 979097 1026763 1227107 1910559 2937291 3080289 3681321 5734711 6853679 7187341 11049809 17204133 20561037 21562023 33149427 40142977 44339107 50311387 77348663 120428931 133017321 150934161 232045989 281000839 310373749 453042169 541440641 843002517 931121247 1359126507 1624321923 1817903387 2172616243 3171295183 3502789453 5453710161 6517848729 9513885549 10508368359 12725323709 22199066281 24519526171 38175971127 66597198843 73558578513 89077265963 143614367573 171636683197 267231797889 430843102719 514910049591 1005300573011 3015901719033 7037104011077 21111312033231