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131311121101122 = 23132182007202021
BaseRepresentation
bin11101110110110101000000…
…101110100111000101000010
3122012221012221210200012202010
4131312311000232213011002
5114202400134000213442
61143135255105233350
736441625664164404
oct3566650056470502
9565835853605663
10131311121101122
1138926808651286
1212888b84932856
13583677c6c8121
14245d6c673cb74
15102aa849ceb9c
hex776d40ba7142

131311121101122 has 32 divisors (see below), whose sum is σ = 262825553672064. Its totient is φ = 43736489596800.

The previous prime is 131311121101063. The next prime is 131311121101129. The reversal of 131311121101122 is 221101121113131.

It is a super-2 number, since 2×1313111211011222 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131311121101129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649886472 + ... + 650088492.

It is an arithmetic number, because the mean of its divisors is an integer number (8213298552252).

Almost surely, 2131311121101122 is an apocalyptic number.

131311121101122 is an abundant number, since it is smaller than the sum of its proper divisors (131514432570942).

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

131311121101122 is a wasteful number, since it uses less digits than its factorization.

131311121101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285354.

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 131311121101122 its reverse (221101121113131), we get a palindrome (352412242214253).

The spelling of 131311121101122 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 1321 2642 3963 7926 82007 164014 202021 246021 404042 492042 606063 1212126 108331247 216662494 266869741 324993741 533739482 649987482 800609223 1601218446 16567136147 33134272294 49701408441 99402816882 21885186850187 43770373700374 65655560550561 131311121101122