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931222141222139 = 131753397200260199
BaseRepresentation
bin1101001110111100010000110…
…0111011110011110011111011
311112010011222010010212020212022
43103233010030323303303323
51434024120421123102024
613100313313523505055
7400101402523431524
oct32357041473636373
94463158103766768
10931222141222139
1124a7971018994a8
128853910ab2818b
1330c7bb42b05050
14125d556bd9b84b
15729d35921835e
hex34ef10cef3cfb

931222141222139 has 32 divisors (see below), whose sum is σ = 1084606039036800. Its totient is φ = 791761535465472.

The previous prime is 931222141222129. The next prime is 931222141222171.

931222141222139 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-931222141222139 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 931222141222139.

It is not an unprimeable number, because it can be changed into a prime (931222141222129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95480039 + ... + 104780160.

It is an arithmetic number, because the mean of its divisors is an integer number (33893938719900).

Almost surely, 2931222141222139 is an apocalyptic number.

931222141222139 is a deficient number, since it is larger than the sum of its proper divisors (153383897814661).

931222141222139 is a wasteful number, since it uses less digits than its factorization.

931222141222139 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200260679.

The product of its digits is 186624, while the sum is 44.

The spelling of 931222141222139 in words is "nine hundred thirty-one trillion, two hundred twenty-two billion, one hundred forty-one million, two hundred twenty-two thousand, one hundred thirty-nine".

Divisors: 1 13 17 53 221 397 689 901 5161 6749 11713 21041 87737 273533 357697 4650061 200260199 2603382587 3404423383 10613790547 44257503979 79503299003 137979277111 180434439299 1033542887039 1351556083051 2345647710887 4213674847159 17570229079663 54777773013067 71632472401703 931222141222139