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311313102320 = 245111492374261
BaseRepresentation
bin1001000011110111011…
…01001111010111110000
31002202112221112011121202
410201323231033113300
520100032123233240
6355003144110332
731330425465053
oct4417355172760
91082487464552
10311313102320
11110033148540
12504021653a8
13234838909ac
14110d3836a9a
158170999315
hex487bb4f5f0

311313102320 has 80 divisors (see below), whose sum is σ = 794902917600. Its totient is φ = 112444953600.

The previous prime is 311313102319. The next prime is 311313102323. The reversal of 311313102320 is 23201313113.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3113131023202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 311313102292 and 311313102301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311313102323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056011 + ... + 1318250.

It is an arithmetic number, because the mean of its divisors is an integer number (9936286470).

Almost surely, 2311313102320 is an apocalyptic number.

It is an amenable number.

311313102320 is an abundant number, since it is smaller than the sum of its proper divisors (483589815280).

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

311313102320 is a wasteful number, since it uses less digits than its factorization.

311313102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374434 (or 2374428 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 311313102320 its reverse (23201313113), we get a palindrome (334514415433).

The spelling of 311313102320 in words is "three hundred eleven billion, three hundred thirteen million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 149 176 220 298 440 596 745 880 1192 1490 1639 2384 2980 3278 5960 6556 8195 11920 13112 16390 26224 32780 65560 131120 2374261 4748522 9497044 11871305 18994088 23742610 26116871 37988176 47485220 52233742 94970440 104467484 130584355 189940880 208934968 261168710 353764889 417869936 522337420 707529778 1044674840 1415059556 1768824445 2089349680 2830119112 3537648890 3891413779 5660238224 7075297780 7782827558 14150595560 15565655116 19457068895 28301191120 31131310232 38914137790 62262620464 77828275580 155656551160 311313102320