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312131111213020 = 225111817993980677
BaseRepresentation
bin100011011111000011011000…
…0000000011101011111011100
31111221011102221210220101222011
41012332012300000131133130
5311402424003432304040
63023503015234401004
7122513504624434051
oct10676066000353734
91457142853811864
10312131111213020
1190500074047220
122b011125730164
1310521ab6c74908
1457113252db028
1526143a6e413ea
hex11be1b001d7dc

312131111213020 has 96 divisors (see below), whose sum is σ = 719105318882496. Its totient is φ = 112860901324800.

The previous prime is 312131111212993. The next prime is 312131111213027. The reversal of 312131111213020 is 20312111131213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 312131111212982 and 312131111213000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131111213027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317790922 + ... + 318771598.

It is an arithmetic number, because the mean of its divisors is an integer number (7490680405026).

Almost surely, 2312131111213020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312131111213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359552659441248).

312131111213020 is an abundant number, since it is smaller than the sum of its proper divisors (406974207669476).

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

312131111213020 is a wasteful number, since it uses less digits than its factorization.

312131111213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988871 (or 988869 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 312131111213020 its reverse (20312111131213), we get a palindrome (332443222344233).

The spelling of 312131111213020 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred eleven million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 181 220 362 724 905 1810 1991 3620 3982 7964 7993 9955 15986 19910 31972 39820 39965 79930 87923 159860 175846 351692 439615 879230 980677 1446733 1758460 1961354 2893466 3922708 4903385 5786932 7233665 9806770 10787447 14467330 15914063 19613540 21574894 28934660 31828126 43149788 53937235 63656252 79570315 107874470 159140630 177502537 215748940 318281260 355005074 710010148 887512685 1775025370 1952527907 3550050740 3905055814 7810111628 7838551261 9762639535 15677102522 19525279070 31354205044 39050558140 39192756305 78385512610 86224063871 156771025220 172448127742 344896255484 431120319355 862240638710 1418777778241 1724481277420 2837555556482 5675111112964 7093888891205 14187777782410 15606555560651 28375555564820 31213111121302 62426222242604 78032777803255 156065555606510 312131111213020