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312413131111220 = 22515620656555561
BaseRepresentation
bin100011100001000110101100…
…1101100111111101100110100
31111222011101220021002121212222
41013002031121230333230310
5311422034043031024340
63024240335555501512
7122543050425140516
oct10702153154775464
91458141807077788
10312413131111220
11905a9734a11957
122b0579115b7898
131054257ca1bc19
145720c3a511bb6
15261b8b0d778b5
hex11c2359b3fb34

312413131111220 has 12 divisors (see below), whose sum is σ = 656067575333604. Its totient is φ = 124965252444480.

The previous prime is 312413131111183. The next prime is 312413131111223. The reversal of 312413131111220 is 22111131314213.

It can be written as a sum of positive squares in 2 ways, for example, as 238874891314084 + 73538239797136 = 15455578^2 + 8575444^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312413131111220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312413131111223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7810328277761 + ... + 7810328277800.

It is an arithmetic number, because the mean of its divisors is an integer number (54672297944467).

Almost surely, 2312413131111220 is an apocalyptic number.

It is an amenable number.

312413131111220 is an abundant number, since it is smaller than the sum of its proper divisors (343654444222384).

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

312413131111220 is a wasteful number, since it uses less digits than its factorization.

312413131111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15620656555570 (or 15620656555568 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 312413131111220 its reverse (22111131314213), we get a palindrome (334524262425433).

The spelling of 312413131111220 in words is "three hundred twelve trillion, four hundred thirteen billion, one hundred thirty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 15620656555561 31241313111122 62482626222244 78103282777805 156206565555610 312413131111220