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313113202020 = 22335579839263
BaseRepresentation
bin1001000111001110000…
…00000100110101100100
31002221012101201201012000
410203213000010311210
520112223434431040
6355501530325300
731423144206123
oct4434700046544
91087171651160
10313113202020
11110877270043
1250824b89830
13236ac7b7248
1411224937aba
158228a22130
hex48e7004d64

313113202020 has 48 divisors (see below), whose sum is σ = 974129963520. Its totient is φ = 83496853728.

The previous prime is 313113202019. The next prime is 313113202057. The reversal of 313113202020 is 20202311313.

313113202020 is a `hidden beast` number, since 31 + 311 + 320 + 2 + 0 + 2 + 0 = 666.

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 = 313113201984 and 313113202002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289919092 + ... + 289920171.

It is an arithmetic number, because the mean of its divisors is an integer number (20294374240).

Almost surely, 2313113202020 is an apocalyptic number.

313113202020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313113202020 is an abundant number, since it is smaller than the sum of its proper divisors (661016761500).

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

313113202020 is a wasteful number, since it uses less digits than its factorization.

313113202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579839281 (or 579839273 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313113202020 its reverse (20202311313), we get a palindrome (333315513333).

The spelling of 313113202020 in words is "three hundred thirteen billion, one hundred thirteen million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 579839263 1159678526 1739517789 2319357052 2899196315 3479035578 5218553367 5798392630 6958071156 8697588945 10437106734 11596785260 15655660101 17395177890 20874213468 26092766835 31311320202 34790355780 52185533670 62622640404 78278300505 104371067340 156556601010 313113202020