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131012222141130 = 235112311164242621
BaseRepresentation
bin11101110010011110101000…
…111101100100001011001010
3122011212122110000112210221120
4131302132220331210023022
5114133001012332004010
61142350103423220110
736411214666016151
oct3562365075441312
9564778400483846
10131012222141130
1138820a75a0a700
121283b068147636
135814526a226a5
14244d04d92a598
151022dddd0ee70
hex7727a8f642ca

131012222141130 has 96 divisors (see below), whose sum is σ = 356761195144704. Its totient is φ = 30736005168000.

The previous prime is 131012222141117. The next prime is 131012222141239. The reversal of 131012222141130 is 31141222210131.

It is a self number, because there is not a number n which added to its sum of digits gives 131012222141130.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582008781 + ... + 582233840.

It is an arithmetic number, because the mean of its divisors is an integer number (3716262449424).

Almost surely, 2131012222141130 is an apocalyptic number.

131012222141130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131012222141130 is an abundant number, since it is smaller than the sum of its proper divisors (225748973003574).

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

131012222141130 is a wasteful number, since it uses less digits than its factorization.

131012222141130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164242684 (or 1164242673 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131012222141130 its reverse (31141222210131), we get a palindrome (162153444351261).

The spelling of 131012222141130 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-two million, one hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 121 155 165 186 242 310 330 341 363 465 605 682 726 930 1023 1210 1705 1815 2046 3410 3630 3751 5115 7502 10230 11253 18755 22506 37510 56265 112530 1164242621 2328485242 3492727863 5821213105 6985455726 11642426210 12806668831 17463639315 25613337662 34927278630 36091521251 38420006493 64033344155 72183042502 76840012986 108274563753 128066688310 140873357141 180457606255 192100032465 216549127506 281746714282 360915212510 384200064930 397006733761 422620071423 541372818765 704366785705 794013467522 845240142846 1082745637530 1191020201283 1408733571410 1985033668805 2113100357115 2382040402566 3970067337610 4226200714230 4367074071371 5955101006415 8734148142742 11910202012830 13101222214113 21835370356855 26202444428226 43670740713710 65506111070565 131012222141130