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131345060104200 = 233521069204778703
BaseRepresentation
bin11101110111010100100111…
…101001101000100000001000
3122020001110120001220012112010
4131313110213221220200020
5114203424140341313300
61143203030532015520
736444240014021265
oct3567244751504010
9566043501805463
10131345060104200
113893a1442a7658
1212893676a615a0
135839a2ab75c77
1424611c5d8026c
15102b8be330a50
hex777527a68808

131345060104200 has 96 divisors (see below), whose sum is σ = 407550576700800. Its totient is φ = 34992584597760.

The previous prime is 131345060104171. The next prime is 131345060104201. The reversal of 131345060104200 is 2401060543131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (131345060104201) 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, 101747952 + ... + 103030751.

It is an arithmetic number, because the mean of its divisors is an integer number (4245318507300).

Almost surely, 2131345060104200 is an apocalyptic number.

131345060104200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131345060104200 is an abundant number, since it is smaller than the sum of its proper divisors (276205516596600).

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

131345060104200 is a wasteful number, since it uses less digits than its factorization.

131345060104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204779791 (or 204779782 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 131345060104200 in words is "one hundred thirty-one trillion, three hundred forty-five billion, sixty million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1069 2138 3207 4276 5345 6414 8552 10690 12828 16035 21380 25656 26725 32070 42760 53450 64140 80175 106900 128280 160350 213800 320700 641400 204778703 409557406 614336109 819114812 1023893515 1228672218 1638229624 2047787030 2457344436 3071680545 4095574060 4914688872 5119467575 6143361090 8191148120 10238935150 12286722180 15358402725 20477870300 24573444360 30716805450 40955740600 61433610900 122867221800 218908433507 437816867014 656725300521 875633734028 1094542167535 1313450601042 1751267468056 2189084335070 2626901202084 3283626502605 4378168670140 5253802404168 5472710837675 6567253005210 8756337340280 10945421675350 13134506010420 16418132513025 21890843350700 26269012020840 32836265026050 43781686701400 65672530052100 131345060104200