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131507664305 = 52329536591129
BaseRepresentation
bin111101001111001110…
…1111011010110110001
3110120102222212112020112
41322132131323112301
54123311430224210
6140225213351105
712333611463053
oct1723635732661
9416388775215
10131507664305
1150854714696
12215a1798495
13c52a34b4a4
1465178058d3
15364a3c3d05
hex1e9e77b5b1

131507664305 has 64 divisors (see below), whose sum is σ = 173980224000. Its totient is φ = 95099676672.

The previous prime is 131507664293. The next prime is 131507664313. The reversal of 131507664305 is 503466705131.

It is a cyclic number.

It is not a de Polignac number, because 131507664305 - 26 = 131507664241 is a prime.

It is a super-2 number, since 2×1315076643052 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116480981 + ... + 116482109.

It is an arithmetic number, because the mean of its divisors is an integer number (2718441000).

Almost surely, 2131507664305 is an apocalyptic number.

It is an amenable number.

131507664305 is a deficient number, since it is larger than the sum of its proper divisors (42472559695).

131507664305 is a wasteful number, since it uses less digits than its factorization.

131507664305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898.

The product of its (nonzero) digits is 226800, while the sum is 41.

The spelling of 131507664305 in words is "one hundred thirty-one billion, five hundred seven million, six hundred sixty-four thousand, three hundred five".

Divisors: 1 5 23 29 53 115 145 265 659 667 1129 1219 1537 3295 3335 5645 6095 7685 15157 19111 25967 32741 34927 35351 59837 75785 95555 129835 163705 174635 176755 299185 439553 744011 753043 803321 1012883 1376251 1735273 2197765 3720055 3765215 4016605 5064415 6881255 8676365 17112253 21576319 23296309 39432583 39911279 85561265 107881595 116481545 197162915 199556395 496255337 906949409 1143544907 2481276685 4534747045 5717724535 26301532861 131507664305