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310013131122 = 23287887195967
BaseRepresentation
bin1001000001011100011…
…10001111100101110010
31002122012100101210101100
410200232032033211302
520034401330143442
6354230145145230
731253262064422
oct4405616174562
91078170353340
10310013131122
1110a52636a982
12500ba92b216
1323307465b76
141100cd22482
1580e67b284c
hex482e38f972

310013131122 has 24 divisors (see below), whose sum is σ = 671706187776. Its totient is φ = 103336007256.

The previous prime is 310013131111. The next prime is 310013131123. The reversal of 310013131122 is 221131310013.

It is a super-2 number, since 2×3100131311222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 310013131095 and 310013131104.

It is not an unprimeable number, because it can be changed into a prime (310013131123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1483983 + ... + 1679949.

It is an arithmetic number, because the mean of its divisors is an integer number (27987757824).

Almost surely, 2310013131122 is an apocalyptic number.

310013131122 is an abundant number, since it is smaller than the sum of its proper divisors (361693056654).

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

310013131122 is a wasteful number, since it uses less digits than its factorization.

310013131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283862 (or 283859 counting only the distinct ones).

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

Adding to 310013131122 its reverse (221131310013), we get a palindrome (531144441135).

It can be divided in two parts, 3100131 and 31122, that added together give a triangular number (3131253 = T2502).

The spelling of 310013131122 in words is "three hundred ten billion, thirteen million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 87887 175774 195967 263661 391934 527322 587901 790983 1175802 1581966 1763703 3527406 17222951729 34445903458 51668855187 103337710374 155006565561 310013131122