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313200122232 = 23359221186527
BaseRepresentation
bin1001000111011000010…
…11101001100101111000
31002221102110021201022010
410203230023221211320
520112413212402412
6355514313325520
731425251053614
oct4435413514570
91087373251263
10313200122232
11110911338528
125084a1068a0
13236c47cb41a
14112322c2344
15823149133c
hex48ec2e9978

313200122232 has 32 divisors (see below), whose sum is σ = 796271500800. Its totient is φ = 102630548064.

The previous prime is 313200122141. The next prime is 313200122243. The reversal of 313200122232 is 232221002313.

It is a happy number.

It is a super-2 number, since 2×3132001222322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313200122199 and 313200122208.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 110591848 + ... + 110594679.

It is an arithmetic number, because the mean of its divisors is an integer number (24883484400).

Almost surely, 2313200122232 is an apocalyptic number.

It is an amenable number.

313200122232 is an abundant number, since it is smaller than the sum of its proper divisors (483071378568).

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

313200122232 is a wasteful number, since it uses less digits than its factorization.

313200122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221186595 (or 221186591 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 313200122232 its reverse (232221002313), we get a palindrome (545421124545).

The spelling of 313200122232 in words is "three hundred thirteen billion, two hundred million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 221186527 442373054 663559581 884746108 1327119162 1769492216 2654238324 5308476648 13050005093 26100010186 39150015279 52200020372 78300030558 104400040744 156600061116 313200122232