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131335115511425 = 527237131193311443
BaseRepresentation
bin11101110111001011010110…
…111010000001011010000001
3122020000111220000101112211012
4131313023112322001122001
5114203243304032331200
61143154304044530305
736443435411254400
oct3567132672013201
9566014800345735
10131335115511425
1138935a00896941
1212891760550995
135838b047b8147
142460921321637
15102b4db269a35
hex7772d6e81681

131335115511425 has 144 divisors (see below), whose sum is σ = 196168104741312. Its totient is φ = 86902887052800.

The previous prime is 131335115511361. The next prime is 131335115511427. The reversal of 131335115511425 is 524115511533131.

It is not a de Polignac number, because 131335115511425 - 26 = 131335115511361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131335115511427) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11477326754 + ... + 11477338196.

It is an arithmetic number, because the mean of its divisors is an integer number (1362278505148).

Almost surely, 2131335115511425 is an apocalyptic number.

It is an amenable number.

131335115511425 is a deficient number, since it is larger than the sum of its proper divisors (64832989229887).

131335115511425 is a wasteful number, since it uses less digits than its factorization.

131335115511425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13568 (or 13556 counting only the distinct ones).

The product of its digits is 135000, while the sum is 41.

The spelling of 131335115511425 in words is "one hundred thirty-one trillion, three hundred thirty-five billion, one hundred fifteen million, five hundred eleven thousand, four hundred twenty-five".

Divisors: 1 5 7 25 35 37 49 131 175 185 245 259 655 917 925 1225 1295 1813 1933 3275 4585 4847 6419 6475 9065 9665 11443 13531 22925 24235 32095 33929 45325 48325 57215 67655 71521 80101 94717 121175 160475 169645 237503 253223 286075 338275 357605 400505 423391 473585 500647 560707 848225 1187515 1266115 1499033 1772561 1788025 2002525 2116955 2367925 2503235 2803535 2963737 3504529 5937575 6330575 7495165 8862805 9369251 10493231 10584775 12407927 12516175 14017675 14818685 17522645 20746159 22119319 37475825 44314025 46846255 52466155 55464221 62039635 65584757 73452617 74093425 87613225 103730795 110596595 154835233 234231275 262330775 277321105 310198175 327923785 367263085 388249547 459093299 518653975 552982975 774176165 818414803 1083846631 1386605525 1639618925 1836315425 1941247735 2295466495 2717746829 2897630789 3870880825 4092074015 5419233155 5728903621 9706238675 11477332475 13588734145 14488153945 20283415523 20460370075 27096165775 28644518105 40102325347 67943670725 72440769725 101417077615 107212339193 141983908661 143222590525 200511626735 507085388075 536061695965 709919543305 750486374351 1002558133675 2680308479825 3549597716525 3752431871755 5253404620457 18762159358775 26267023102285 131335115511425