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131404120422102 = 232111579674371371
BaseRepresentation
bin11101111000001011100111…
…111010110111011011010110
3122020021010000002022012202200
4131320023213322313123112
5114210411114312001402
61143250115231345330
736451430413315113
oct3570134772673326
9566233002265680
10131404120422102
11389621a1309640
12128a2bba082246
135842480a24838
142463dc9b0790a
15102d1c931921c
hex7782e7eb76d6

131404120422102 has 96 divisors (see below), whose sum is σ = 312893155770624. Its totient is φ = 39524878411200.

The previous prime is 131404120422089. The next prime is 131404120422103. The reversal of 131404120422102 is 201224021404131.

131404120422102 is a `hidden beast` number, since 1 + 3 + 1 + 404 + 1 + 2 + 0 + 42 + 210 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131404120422103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27874477 + ... + 32245847.

It is an arithmetic number, because the mean of its divisors is an integer number (3259303705944).

Almost surely, 2131404120422102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131404120422102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156446577885312).

131404120422102 is an abundant number, since it is smaller than the sum of its proper divisors (181489035348522).

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

131404120422102 is a wasteful number, since it uses less digits than its factorization.

131404120422102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372514 (or 4372511 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 131404120422102 its reverse (201224021404131), we get a palindrome (332628141826233).

The spelling of 131404120422102 in words is "one hundred thirty-one trillion, four hundred four billion, one hundred twenty million, four hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 157 198 314 471 942 967 1413 1727 1934 2826 2901 3454 5181 5802 8703 10362 10637 15543 17406 21274 31086 31911 63822 95733 151819 191466 303638 455457 910914 1366371 1670009 2732742 3340018 4371371 5010027 8742742 10020054 13114113 15030081 26228226 30060162 39342339 48085081 78684678 96170162 144255243 288510486 432765729 686305247 865531458 1372610494 2058915741 4117831482 4227115757 6176747223 7549357717 8454231514 12353494446 12681347271 15098715434 22648073151 25362694542 38044041813 45296146302 46498273327 67944219453 76088083626 92996546654 135888438906 139494819981 278989639962 418484459943 663657173849 836968919886 1327314347698 1990971521547 3981943043094 5972914564641 7300228912339 11945829129282 14600457824678 21900686737017 43801373474034 65702060211051 131404120422102