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131012223034200 = 233522081104927297
BaseRepresentation
bin11101110010011110101001…
…000000111110001101011000
3122011212122110002020012000020
4131302132221000332031120
5114133001013044043300
61142350103454310440
736411215006425644
oct3562365100761530
9564778402205006
10131012223034200
1138820a7646a682
121283b0684b8420
135814526c76031
14244d04dabdc24
151022ddde398a0
hex7727a903e358

131012223034200 has 96 divisors (see below), whose sum is σ = 406333060050960. Its totient is φ = 34919804108800.

The previous prime is 131012223034183. The next prime is 131012223034309. The reversal of 131012223034200 is 2430322210131.

131012223034200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 51215049 + ... + 53712248.

Almost surely, 2131012223034200 is an apocalyptic number.

131012223034200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012223034200 is an abundant number, since it is smaller than the sum of its proper divisors (275320837016760).

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

131012223034200 is a wasteful number, since it uses less digits than its factorization.

131012223034200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104929397 (or 104929388 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131012223034200 its reverse (2430322210131), we get a palindrome (133442545244331).

The spelling of 131012223034200 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-three million, thirty-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 2081 4162 6243 8324 10405 12486 16648 20810 24972 31215 41620 49944 52025 62430 83240 104050 124860 156075 208100 249720 312150 416200 624300 1248600 104927297 209854594 314781891 419709188 524636485 629563782 839418376 1049272970 1259127564 1573909455 2098545940 2518255128 2623182425 3147818910 4197091880 5246364850 6295637820 7869547275 10492729700 12591275640 15739094550 20985459400 31478189100 62956378200 218353705057 436707410114 655061115171 873414820228 1091768525285 1310122230342 1746829640456 2183537050570 2620244460684 3275305575855 4367074101140 5240488921368 5458842626425 6550611151710 8734148202280 10917685252850 13101222303420 16376527879275 21835370505700 26202444606840 32753055758550 43670741011400 65506111517100 131012223034200