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131420100004011 = 327131737255109861
BaseRepresentation
bin11101111000011010100000…
…011000001000100010101011
3122020022122020201201002012200
4131320122200120020202223
5114211141331100112021
61143301321021311243
736452534406445350
oct3570324030104253
9566278221632180
10131420100004011
1138968a51378a85
12128a6119705523
135843b294ac250
142464aa4082627
15102d81212a126
hex7786a06088ab

131420100004011 has 96 divisors (see below), whose sum is σ = 254064932005248. Its totient is φ = 63479496683520.

The previous prime is 131420100004007. The next prime is 131420100004031. The reversal of 131420100004011 is 110400001024131.

131420100004011 is a `hidden beast` number, since 131 + 420 + 100 + 0 + 0 + 4 + 0 + 11 = 666.

It is not a de Polignac number, because 131420100004011 - 22 = 131420100004007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131420100004031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127039780 + ... + 128070081.

It is an arithmetic number, because the mean of its divisors is an integer number (2646509708388).

Almost surely, 2131420100004011 is an apocalyptic number.

131420100004011 is a deficient number, since it is larger than the sum of its proper divisors (122644832001237).

131420100004011 is a wasteful number, since it uses less digits than its factorization.

131420100004011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255109941 (or 255109938 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131420100004011 its reverse (110400001024131), we get a palindrome (241820101028142).

The spelling of 131420100004011 in words is "one hundred thirty-one trillion, four hundred twenty billion, one hundred million, four thousand, eleven".

Divisors: 1 3 7 9 13 17 21 37 39 51 63 91 111 117 119 153 221 259 273 333 357 481 629 663 777 819 1071 1443 1547 1887 1989 2331 3367 4329 4403 4641 5661 8177 10101 13209 13923 24531 30303 39627 57239 73593 171717 515151 255109861 765329583 1785769027 2295988749 3316428193 4336867637 5357307081 9439064857 9949284579 13010602911 16071921243 23214997351 28317194571 29847853737 30358073459 39031808733 56379279281 66073453999 69644992053 84951583713 91074220377 122707843141 160464102569 169137837843 198220361997 208934976159 273222661131 368123529423 394654954967 481392307707 507413513529 594661085991 858954901987 1104370588269 1123248717983 1183964864901 1444176923121 2086033333397 2576864705961 3369746153949 3551894594703 6258100000191 7730594117883 10109238461847 14602233333779 18774300000573 43806700001337 131420100004011