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310312103121 = 32294128998421
BaseRepresentation
bin1001000010000000000…
…10101110110011010001
31002122222011222010212100
410201000002232303101
520041004344244441
6354315545151013
731263552233046
oct4410002566321
91078864863770
10310312103121
1110a66a101a79
1250182a8b469
1323354393a87
141103a9091cd
158112b6bcb6
hex48400aecd1

310312103121 has 24 divisors (see below), whose sum is σ = 474994152360. Its totient is φ = 194869382400.

The previous prime is 310312103113. The next prime is 310312103137. The reversal of 310312103121 is 121301213013.

310312103121 is a `hidden beast` number, since 31 + 0 + 312 + 10 + 312 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74733890625 + 235578212496 = 273375^2 + 485364^2 .

It is not a de Polignac number, because 310312103121 - 23 = 310312103113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 310312103094 and 310312103103.

It is not an unprimeable number, because it can be changed into a prime (310312103111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14488510 + ... + 14509911.

It is an arithmetic number, because the mean of its divisors is an integer number (19791423015).

Almost surely, 2310312103121 is an apocalyptic number.

It is an amenable number.

310312103121 is a deficient number, since it is larger than the sum of its proper divisors (164682049239).

310312103121 is a wasteful number, since it uses less digits than its factorization.

310312103121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28998497 (or 28998494 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 310312103121 its reverse (121301213013), we get a palindrome (431613316134).

The spelling of 310312103121 in words is "three hundred ten billion, three hundred twelve million, one hundred three thousand, one hundred twenty-one".

Divisors: 1 3 9 29 41 87 123 261 369 1189 3567 10701 28998421 86995263 260985789 840954209 1188935261 2522862627 3566805783 7568587881 10700417349 34479122569 103437367707 310312103121