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313127880100 = 22527263903649
BaseRepresentation
bin1001000111001111110…
…00000100010110100100
31002221020102100102201121
410203213320010112210
520112241214130400
6355503213103324
731423413031300
oct4434770042644
91087212312647
10313127880100
11110884585992
1250829a87b44
13236b28561b9
1411226878d00
158229e7121a
hex48e7e045a4

313127880100 has 54 divisors (see below), whose sum is σ = 790424246850. Its totient is φ = 107358128640.

The previous prime is 313127880061. The next prime is 313127880101. The reversal of 313127880100 is 1088721313.

It can be written as a sum of positive squares in 3 ways, for example, as 32007356836 + 281120523264 = 178906^2 + 530208^2 .

It is not an unprimeable number, because it can be changed into a prime (313127880101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31946925 + ... + 31956724.

Almost surely, 2313127880100 is an apocalyptic number.

It is an amenable number.

313127880100 is an abundant number, since it is smaller than the sum of its proper divisors (477296366750).

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

313127880100 is a wasteful number, since it uses less digits than its factorization.

313127880100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63903677 (or 63903663 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 313127880100 in words is "three hundred thirteen billion, one hundred twenty-seven million, eight hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 63903649 127807298 255614596 319518245 447325543 639036490 894651086 1278072980 1597591225 1789302172 2236627715 3131278801 3195182450 4473255430 6262557602 6390364900 8946510860 11183138575 12525115204 15656394005 22366277150 31312788010 44732554300 62625576020 78281970025 156563940050 313127880100