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313121311002 = 232109159592921
BaseRepresentation
bin1001000111001110111…
…11000000100100011010
31002221012221222200121200
410203213133000210122
520112233023423002
6355502420215030
731423303141353
oct4434737004432
91087187880550
10313121311002
111108808a9485
125082783a476
13236b1396166
1411225a48d2a
1582295c4b1c
hex48e77c091a

313121311002 has 24 divisors (see below), whose sum is σ = 684653635380. Its totient is φ = 103416212160.

The previous prime is 313121310977. The next prime is 313121311003. The reversal of 313121311002 is 200113121313.

It can be written as a sum of positive squares in 2 ways, for example, as 307981711521 + 5139599481 = 554961^2 + 71691^2 .

It is a super-2 number, since 2×3131213110022 (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 not an unprimeable number, because it can be changed into a prime (313121311003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79794499 + ... + 79798422.

Almost surely, 2313121311002 is an apocalyptic number.

313121311002 is an abundant number, since it is smaller than the sum of its proper divisors (371532324378).

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

313121311002 is a wasteful number, since it uses less digits than its factorization.

313121311002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159593038 (or 159593035 counting only the distinct ones).

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

Adding to 313121311002 its reverse (200113121313), we get a palindrome (513234432315).

The spelling of 313121311002 in words is "three hundred thirteen billion, one hundred twenty-one million, three hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 109 218 327 654 981 1962 159592921 319185842 478778763 957557526 1436336289 2872672578 17395628389 34791256778 52186885167 104373770334 156560655501 313121311002