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131221202122131 = 3112361490914937
BaseRepresentation
bin11101110101100001010001…
…001000111011010110010011
3122012121121212012020210112220
4131311201101020323112103
5114144412010220402011
61143030104341352123
736432263500365612
oct3565412110732623
9565547765223486
10131221202122131
11388a1665739500
121287366b108643
13582b14c602b94
1424591d64d1879
151028570809506
hex77585123b593

131221202122131 has 12 divisors (see below), whose sum is σ = 192313166747016. Its totient is φ = 79528001285920.

The previous prime is 131221202122123. The next prime is 131221202122141.

131221202122131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131221202122131 - 23 = 131221202122123 is a prime.

It is a super-2 number, since 2×1312212021221312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131221202122141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180745457106 + ... + 180745457831.

It is an arithmetic number, because the mean of its divisors is an integer number (16026097228918).

Almost surely, 2131221202122131 is an apocalyptic number.

131221202122131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131221202122131 is a deficient number, since it is larger than the sum of its proper divisors (61091964624885).

131221202122131 is a wasteful number, since it uses less digits than its factorization.

131221202122131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361490914962 (or 361490914951 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 13122120 and 2122131, that added together give a palindrome (15244251).

The spelling of 131221202122131 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 11 33 121 363 361490914937 1084472744811 3976400064307 11929200192921 43740400707377 131221202122131