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131012200121310 = 23252363290917933
BaseRepresentation
bin11101110010011110100111…
…101001100100001111011110
3122011212122101111010002102200
4131302132213221210033132
5114133000441212340220
61142350101315232330
736411214310605344
oct3562364751441736
9564778344102380
10131012200121310
1138820a6453a902
121283b0608a86a6
1358145222b2b01
14244d04aa37994
151022ddbe10890
hex7727a7a643de

131012200121310 has 48 divisors (see below), whose sum is σ = 355441795117344. Its totient is φ = 33417604668096.

The previous prime is 131012200121291. The next prime is 131012200121317. The reversal of 131012200121310 is 13121002210131.

131012200121310 is a `hidden beast` number, since 1 + 3 + 10 + 1 + 220 + 0 + 121 + 310 = 666.

It is a super-2 number, since 2×1310122001213102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012200121317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31645456897 + ... + 31645461036.

It is an arithmetic number, because the mean of its divisors is an integer number (7405037398278).

Almost surely, 2131012200121310 is an apocalyptic number.

131012200121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131012200121310 is an abundant number, since it is smaller than the sum of its proper divisors (224429594996034).

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

131012200121310 is a wasteful number, since it uses less digits than its factorization.

131012200121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63290917969 (or 63290917966 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131012200121310 its reverse (13121002210131), we get a palindrome (144133202331441).

The spelling of 131012200121310 in words is "one hundred thirty-one trillion, twelve billion, two hundred million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 63290917933 126581835866 189872753799 316454589665 379745507598 569618261397 632909179330 949363768995 1139236522794 1455691112459 1898727537990 2848091306985 2911382224918 4367073337377 5696182613970 7278455562295 8734146674754 13101220012131 14556911124590 21835366686885 26202440024262 43670733373770 65506100060655 131012200121310