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131012221401222 = 23731701263354517
BaseRepresentation
bin11101110010011110101000…
…111010101111100010000110
3122011212122102222011012222120
4131302132220322233202012
5114133001012134314342
61142350103355310410
736411214656515040
oct3562365072574206
9564778388135876
10131012221401222
1138820a75554807
121283b067a4b406
135814526823985
14244d04d7b6a90
151022dddc15aec
hex7727a8eaf886

131012221401222 has 128 divisors (see below), whose sum is σ = 309680606896128. Its totient is φ = 36158500224000.

The previous prime is 131012221401203. The next prime is 131012221401239. The reversal of 131012221401222 is 222104122210131.

It is a junction number, because it is equal to n+sod(n) for n = 131012221401192 and 131012221401201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2403117108 + ... + 2403171624.

It is an arithmetic number, because the mean of its divisors is an integer number (2419379741376).

Almost surely, 2131012221401222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131012221401222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154840303448064).

131012221401222 is an abundant number, since it is smaller than the sum of its proper divisors (178668385494906).

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

131012221401222 is a wasteful number, since it uses less digits than its factorization.

131012221401222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57894.

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

Adding to 131012221401222 its reverse (222104122210131), we get a palindrome (353116343611353).

The spelling of 131012221401222 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-one million, four hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 701 1302 1402 2103 2633 4206 4907 5266 7899 9814 14721 15798 18431 21731 29442 36862 43462 54517 55293 65193 81623 109034 110586 130386 152117 163246 163551 244869 304234 327102 381619 456351 489738 571361 763238 912702 1142722 1144857 1690027 1714083 1845733 2289714 3380054 3428166 3691466 5070081 5537199 10140162 11074398 11830189 12920131 23660378 25840262 35490567 38216417 38760393 57217723 70981134 76432834 77520786 114435446 114649251 143543261 171653169 229298502 267514919 287086522 343306338 400524061 430629783 535029838 801048122 802544757 861259566 1004802827 1184708927 1201572183 1605089514 2009605654 2369417854 2403144366 3014408481 3554126781 4449841091 6028816962 7108253562 8292962489 8899682182 13349523273 16585924978 24878887467 26699046546 31148887637 49757774934 62297775274 93446662911 100623825961 186893325822 201247651922 301871477883 603742955766 704366781727 1408733563454 2113100345181 3119338604791 4226200690362 6238677209582 9358015814373 18716031628746 21835370233537 43670740467074 65506110700611 131012221401222