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131331222323334 = 232115741311552941
BaseRepresentation
bin11101110111000111101110…
…110110101100000010000110
3122020000010211200200002202200
4131313013232312230002012
5114203212320403321314
61143152421452215330
736443240055563655
oct3567075666540206
9566003750602680
10131331222323334
1138934293227020
1212890a5476a546
135838634053957
14246067225319c
15102b35e592709
hex7771eedac086

131331222323334 has 48 divisors (see below), whose sum is σ = 310424686410384. Its totient is φ = 39796643476800.

The previous prime is 131331222323333. The next prime is 131331222323341. The reversal of 131331222323334 is 433323222133131.

131331222323334 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 312 + 2 + 2 + 3 + 2 + 3 + 334 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331222323333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5591304 + ... + 17144244.

It is an arithmetic number, because the mean of its divisors is an integer number (6467180966883).

Almost surely, 2131331222323334 is an apocalyptic number.

131331222323334 is an abundant number, since it is smaller than the sum of its proper divisors (179093464087050).

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

131331222323334 is a wasteful number, since it uses less digits than its factorization.

131331222323334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11610373 (or 11610370 counting only the distinct ones).

The product of its digits is 139968, while the sum is 36.

Adding to 131331222323334 its reverse (433323222133131), we get a palindrome (564654444456465).

The spelling of 131331222323334 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, two hundred twenty-two million, three hundred twenty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 57413 114826 172239 344478 516717 631543 1033434 1263086 1894629 3789258 5683887 11367774 11552941 23105882 34658823 69317646 103976469 127082351 207952938 254164702 381247053 762494106 1143741159 2287482318 663289001633 1326578003266 1989867004899 3979734009798 5969601014697 7296179017963 11939202029394 14592358035926 21888537053889 43777074107778 65665611161667 131331222323334