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131012102100300 = 223524315764687751
BaseRepresentation
bin11101110010011110100001…
…110011101001010101001100
3122011212122010122200002212220
4131302132201303221111030
5114133000241114202200
61142350043454255340
736411212010464661
oct3562364163512514
9564778118602786
10131012102100300
1138820a14180203
121283b033ab7550
135814507bb3005
14244d03b9dda68
151022dd34ec4a0
hex7727a1ce954c

131012102100300 has 144 divisors (see below), whose sum is σ = 390347630652672. Its totient is φ = 33906731040000.

The previous prime is 131012102100223. The next prime is 131012102100371. The reversal of 131012102100300 is 3001201210131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131012102100300.

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, 30318576 + ... + 34369175.

It is an arithmetic number, because the mean of its divisors is an integer number (2710747435088).

Almost surely, 2131012102100300 is an apocalyptic number.

131012102100300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012102100300 is an abundant number, since it is smaller than the sum of its proper divisors (259335528552372).

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

131012102100300 is a wasteful number, since it uses less digits than its factorization.

131012102100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64687968 (or 64687961 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131012102100300 its reverse (3001201210131), we get a palindrome (134013303310431).

The spelling of 131012102100300 in words is "one hundred thirty-one trillion, twelve billion, one hundred two million, one hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 157 172 215 258 300 314 430 471 516 628 645 785 860 942 1075 1290 1570 1884 2150 2355 2580 3140 3225 3925 4300 4710 6450 6751 7850 9420 11775 12900 13502 15700 20253 23550 27004 33755 40506 47100 67510 81012 101265 135020 168775 202530 337550 405060 506325 675100 1012650 2025300 64687751 129375502 194063253 258751004 323438755 388126506 646877510 776253012 970316265 1293755020 1617193775 1940632530 2781573293 3234387550 3881265060 4851581325 5563146586 6468775100 8344719879 9703162650 10155976907 11126293172 13907866465 16689439758 19406325300 20311953814 27815732930 30467930721 33378879516 40623907628 41723599395 50779884535 55631465860 60935861442 69539332325 83447198790 101559769070 121871722884 139078664650 152339653605 166894397580 203119538140 208617996975 253899422675 278157329300 304679307210 417235993950 436707007001 507798845350 609358614420 761698268025 834471987900 873414014002 1015597690700 1310121021003 1523396536050 1746828028004 2183535035005 2620242042006 3046793072100 4367070070010 5240484084012 6550605105015 8734140140020 10917675175025 13101210210030 21835350350050 26202420420060 32753025525075 43670700700100 65506051050150 131012102100300