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311313211002 = 23312745394169
BaseRepresentation
bin1001000011110111011…
…01101001111001111010
31002202112221201200201000
410201323231221321322
520100032140223002
6355003150305430
731330426426653
oct4417355517172
91082487650630
10311313211002
11110033212162
12504021b8276
13234838cb2c1
14110d386452a
1581709bb61c
hex487bb69e7a

311313211002 has 32 divisors (see below), whose sum is σ = 697254451200. Its totient is φ = 102953973024.

The previous prime is 311313210973. The next prime is 311313211039. The reversal of 311313211002 is 200112313113.

311313211002 is a `hidden beast` number, since 311 + 31 + 321 + 1 + 0 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22690227 + ... + 22703942.

It is an arithmetic number, because the mean of its divisors is an integer number (21789201600).

Almost surely, 2311313211002 is an apocalyptic number.

311313211002 is an abundant number, since it is smaller than the sum of its proper divisors (385941240198).

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

311313211002 is a wasteful number, since it uses less digits than its factorization.

311313211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45394307 (or 45394301 counting only the distinct ones).

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

Adding to 311313211002 its reverse (200112313113), we get a palindrome (511425524115).

The spelling of 311313211002 in words is "three hundred eleven billion, three hundred thirteen million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 27 54 127 254 381 762 1143 2286 3429 6858 45394169 90788338 136182507 272365014 408547521 817095042 1225642563 2451285126 5765059463 11530118926 17295178389 34590356778 51885535167 103771070334 155656605501 311313211002