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313311220100 = 22523133112201
BaseRepresentation
bin1001000111100101100…
…11011101000110000100
31002221201012100001220222
410203302303131012010
520113130133020400
6355533322443512
731431100300244
oct4436263350604
91087635301828
10313311220100
11110969019a4a
125087b363598
13237118293c8
1411242d61b24
15823b0d9185
hex48f2cdd184

313311220100 has 18 divisors (see below), whose sum is σ = 679885347834. Its totient is φ = 125324488000.

The previous prime is 313311220097. The next prime is 313311220153. The reversal of 313311220100 is 1022113313.

It can be written as a sum of positive squares in 3 ways, for example, as 41044328836 + 272266891264 = 202594^2 + 521792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1566556001 + ... + 1566556200.

It is an arithmetic number, because the mean of its divisors is an integer number (37771408213).

Almost surely, 2313311220100 is an apocalyptic number.

It is an amenable number.

313311220100 is an abundant number, since it is smaller than the sum of its proper divisors (366574127734).

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

313311220100 is a wasteful number, since it uses less digits than its factorization.

313311220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133112215 (or 3133112208 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 313311220100 its reverse (1022113313), we get a palindrome (314333333413).

The spelling of 313311220100 in words is "three hundred thirteen billion, three hundred eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3133112201 6266224402 12532448804 15665561005 31331122010 62662244020 78327805025 156655610050 313311220100