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102440111004231 = 371113375411704181
BaseRepresentation
bin10111010010101100110010…
…011011010101101001000111
3111102201011211110122212220220
4113102230302123111221013
5101411334321404113411
61001512200505555423
730402024306355530
oct2722546233255107
9442634743585826
10102440111004231
112a705675065530
12b5a56b5aa5b73
1345210a4095380
141b421b0a89687
15bc9a807a7b06
hex5d2b326d5a47

102440111004231 has 128 divisors (see below), whose sum is σ = 188694011369472. Its totient is φ = 47706133248000.

The previous prime is 102440111004211. The next prime is 102440111004277. The reversal of 102440111004231 is 132400111044201.

It is a happy number.

It is not a de Polignac number, because 102440111004231 - 231 = 102437963520583 is a prime.

It is a super-2 number, since 2×1024401110042312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102440111004211) 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, 59258961 + ... + 60963141.

It is an arithmetic number, because the mean of its divisors is an integer number (1474171963824).

Almost surely, 2102440111004231 is an apocalyptic number.

102440111004231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102440111004231 is a deficient number, since it is larger than the sum of its proper divisors (86253900365241).

102440111004231 is a wasteful number, since it uses less digits than its factorization.

102440111004231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704793.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 102440111004231 its reverse (132400111044201), we get a palindrome (234840222048432).

The spelling of 102440111004231 in words is "one hundred two trillion, four hundred forty billion, one hundred eleven million, four thousand, two hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 541 777 1001 1221 1443 1623 2849 3003 3367 3787 5291 5951 7033 8547 10101 11361 15873 17853 20017 21099 37037 41657 49231 60051 77363 111111 124971 140119 147693 220187 232089 260221 420357 541541 660561 780663 1541309 1624623 1704181 1821547 2862431 4623927 5112543 5464641 8587293 11929267 18745991 20037017 22154353 35787801 56237973 60111051 63054697 66463059 131221937 155080471 189164091 243697883 393665811 441382879 465241413 693601667 731093649 819711061 921961921 1324148637 1705885181 2080805001 2459133183 2765885763 4855211669 5117655543 5737977427 6453733447 9016821671 10141581131 11985504973 14565635007 17213932281 19361200341 27050465013 30424743393 34112591077 35956514919 63117751697 70991067917 83898534811 102337773231 131840554703 189353255091 212973203751 238788137539 251695604433 375238501847 395521664109 443463684001 716364412617 922883882921 1125715505541 1330391052003 2626669512929 2768651648763 3104245788007 4878100524011 7880008538787 9312737364021 14634301572033 34146703668077 102440111004231