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131002130220120 = 23325536865939739
BaseRepresentation
bin11101110010010101001111…
…011011111100010001011000
3122011211200101200211002220100
4131302111033123330101120
5114132314330314020440
61142341314154255400
736410406624061005
oct3562251733742130
9564750350732810
10131002130220120
1138817767322015
1212839110427560
1358135a8c8cab3
14244c7734ba8ac
1510229ecd46230
hex77254f6fc458

131002130220120 has 96 divisors (see below), whose sum is σ = 433790072773200. Its totient is φ = 34274771172096.

The previous prime is 131002130220103. The next prime is 131002130220131. The reversal of 131002130220120 is 21022031200131.

131002130220120 is a `hidden beast` number, since 1 + 310 + 0 + 2 + 13 + 0 + 220 + 120 = 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 = 131002130220093 and 131002130220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3432950790 + ... + 3432988949.

Almost surely, 2131002130220120 is an apocalyptic number.

131002130220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131002130220120 is an abundant number, since it is smaller than the sum of its proper divisors (302787942553080).

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

131002130220120 is a wasteful number, since it uses less digits than its factorization.

131002130220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6865939809 (or 6865939802 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131002130220120 its reverse (21022031200131), we get a palindrome (152024161420251).

The spelling of 131002130220120 in words is "one hundred thirty-one trillion, two billion, one hundred thirty million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 6865939739 13731879478 20597819217 27463758956 34329698695 41195638434 54927517912 61793457651 68659397390 82391276868 102989096085 123586915302 137318794780 164782553736 205978192170 247173830604 274637589560 308967288255 363894806167 411956384340 494347661208 617934576510 727789612334 823912768680 1091684418501 1235869153020 1455579224668 1819474030835 2183368837002 2471738306040 2911158449336 3275053255503 3638948061670 4366737674004 5458422092505 6550106511006 7277896123340 8733475348008 10916844185010 13100213022012 14555792246680 16375266277515 21833688370020 26200426044024 32750532555030 43667376740040 65501065110060 131002130220120