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131132313120 = 2535842932411
BaseRepresentation
bin111101000100000011…
…0000100111000100000
3110112110211120201012210
41322020012010320200
54122024333004440
6140124044322120
712321403161534
oct1721006047040
9415424521183
10131132313120
11506818547a6
12214b7b43340
13c49a65a2b3
1464bda19bc4
15362747da80
hex1e88184e20

131132313120 has 96 divisors (see below), whose sum is σ = 413128537920. Its totient is φ = 34963389440.

The previous prime is 131132313119. The next prime is 131132313133. The reversal of 131132313120 is 21313231131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4029715 + ... + 4062125.

It is an arithmetic number, because the mean of its divisors is an integer number (4303422270).

Almost surely, 2131132313120 is an apocalyptic number.

131132313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131132313120 is an abundant number, since it is smaller than the sum of its proper divisors (281996224800).

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

131132313120 is a wasteful number, since it uses less digits than its factorization.

131132313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40858 (or 40850 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131132313120 its reverse (21313231131), we get a palindrome (152445544251).

The spelling of 131132313120 in words is "one hundred thirty-one billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8429 16858 25287 32411 33716 42145 50574 64822 67432 84290 97233 101148 126435 129644 134864 162055 168580 194466 202296 252870 259288 269728 324110 337160 388932 404592 486165 505740 518576 648220 674320 777864 809184 972330 1011480 1037152 1296440 1348640 1555728 1944660 2022960 2592880 3111456 3889320 4045920 5185760 7778640 15557280 273192319 546384638 819576957 1092769276 1365961595 1639153914 2185538552 2731923190 3278307828 4097884785 4371077104 5463846380 6556615656 8195769570 8742154208 10927692760 13113231312 16391539140 21855385520 26226462624 32783078280 43710771040 65566156560 131132313120