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131700661657741 = 111729607183121851
BaseRepresentation
bin11101111100011111110011…
…001001111010000010001101
3122021022110102112221210210001
4131330133303021322002031
5114230240423341021431
61144034240531244301
736512026112243401
oct3574376311720215
9567273375853701
10131700661657741
1138a66a34092aa0
1212930579149691
13586441c0c3bc7
1424744bb743101
151035c83013e61
hex77c7f327a08d

131700661657741 has 64 divisors (see below), whose sum is σ = 157723078901760. Its totient is φ = 108555834240000.

The previous prime is 131700661657699. The next prime is 131700661657757. The reversal of 131700661657741 is 147756166007131.

It is a cyclic number.

It is not a de Polignac number, because 131700661657741 - 27 = 131700661657613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131700661657781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6027203466 + ... + 6027225316.

It is an arithmetic number, because the mean of its divisors is an integer number (2464423107840).

Almost surely, 2131700661657741 is an apocalyptic number.

131700661657741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131700661657741 is a deficient number, since it is larger than the sum of its proper divisors (26022417244019).

131700661657741 is a wasteful number, since it uses less digits than its factorization.

131700661657741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24346.

The product of its (nonzero) digits is 4445280, while the sum is 55.

The spelling of 131700661657741 in words is "one hundred thirty-one trillion, seven hundred billion, six hundred sixty-one million, six hundred fifty-seven thousand, seven hundred forty-one".

Divisors: 1 11 17 29 187 319 493 607 1831 5423 6677 10319 17603 20141 21851 31127 53099 113509 193633 240361 299251 342397 371467 584089 633679 902683 1111417 3291761 4086137 6970469 9929513 10772543 12225587 13263557 18894089 32231093 40009181 118497973 145899127 207834979 225480469 354542023 384643153 440100991 547928581 680156077 1160266249 2480285159 4231074683 6027214391 6538933601 7481716847 12762928739 19724526233 24285572867 71928269611 216969788563 267141301537 412854738739 704281613143 4541402126129 7747097744573 11972787423431 131700661657741