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131912220 = 223511269743
BaseRepresentation
bin1111101110011…
…01001000011100
3100012012211112210
413313031020130
5232232142340
621031200420
73161143506
oct767151034
9305184483
10131912220
1168508670
1238216110
1321437c8b
141373ad76
15b8aa180
hex7dcd21c

131912220 has 96 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 31816960.

The previous prime is 131912191. The next prime is 131912237. The reversal of 131912220 is 22219131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177169 + ... + 177911.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2131912220 is an apocalyptic number.

131912220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131912220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

131912220 is an abundant number, since it is smaller than the sum of its proper divisors (273061860).

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

131912220 is a wasteful number, since it uses less digits than its factorization.

131912220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 131912220 is about 11485.3045236075. The cubic root of 131912220 is about 509.0514471770.

The spelling of 131912220 in words is "one hundred thirty-one million, nine hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 269 330 538 660 743 807 1076 1345 1486 1614 2229 2690 2959 2972 3228 3715 4035 4458 5380 5918 7430 8070 8173 8877 8916 11145 11836 14795 14860 16140 16346 17754 22290 24519 29590 32692 35508 40865 44385 44580 49038 59180 81730 88770 98076 122595 163460 177540 199867 245190 399734 490380 599601 799468 999335 1199202 1998670 2198537 2398404 2998005 3997340 4397074 5996010 6595611 8794148 10992685 11992020 13191222 21985370 26382444 32978055 43970740 65956110 131912220