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331135012053107 = 17359457494324019
BaseRepresentation
bin100101101001010100110000…
…0110001000010000001110011
31121102110012100100001200202122
41023102221200301002001303
5321400304001041144412
63132133154030504455
7126514500201350363
oct11322514061020163
91542405310050678
10331135012053107
119656762a6a5249
123118022566512b
131129cb891a3202
145bab03d2129a3
1528438acc4a572
hex12d2a60c42073

331135012053107 has 32 divisors (see below), whose sum is σ = 352445483059200. Its totient is φ = 310032650769408.

The previous prime is 331135012053103. The next prime is 331135012053119. The reversal of 331135012053107 is 701350210531133.

It is a cyclic number.

It is not a de Polignac number, because 331135012053107 - 22 = 331135012053103 is a prime.

It is a super-2 number, since 2×3311350120531072 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331135012053101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13786365944 + ... + 13786389962.

It is an arithmetic number, because the mean of its divisors is an integer number (11013921345600).

Almost surely, 2331135012053107 is an apocalyptic number.

331135012053107 is a deficient number, since it is larger than the sum of its proper divisors (21310471006093).

331135012053107 is a wasteful number, since it uses less digits than its factorization.

331135012053107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29795.

The product of its (nonzero) digits is 28350, while the sum is 35.

The spelling of 331135012053107 in words is "three hundred thirty-one trillion, one hundred thirty-five billion, twelve million, fifty-three thousand, one hundred seven".

Divisors: 1 17 359 457 4943 6103 7769 24019 84031 164063 408323 1774537 2258951 2789071 8622821 10976683 30167129 38402167 118725917 146587957 186603611 810963409 2018340589 3940629197 13786377953 42622604203 54257744069 66990696349 724584271451 922381649173 19478530120771 331135012053107