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31060185121 = 7217214812
BaseRepresentation
bin11100111011010101…
…001101000000100001
32222011122012212221201
4130323111031000201
51002102401410441
622134023321201
72146462134400
oct347325150041
988148185851
1031060185121
1112199734889
126029bb0201
132c0cc15584
141709181637
15c1bc47c31
hex73b54d021

31060185121 has 27 divisors (see below), whose sum is σ = 38407557657. Its totient is φ = 25040037120.

The previous prime is 31060185109. The next prime is 31060185127. The reversal of 31060185121 is 12158106013.

The square root of 31060185121 is 176239.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1522950625 + 29537234496 = 39025^2 + 171864^2 .

It is not a de Polignac number, because 31060185121 - 25 = 31060185089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31060185121.

It is not an unprimeable number, because it can be changed into a prime (31060185127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20971701 + ... + 20973181.

Almost surely, 231060185121 is an apocalyptic number.

31060185121 is the 176239-th square number.

31060185121 is the 88120-th centered octagonal number.

It is an amenable number.

31060185121 is a deficient number, since it is larger than the sum of its proper divisors (7347372536).

31060185121 is an frugal number, since it uses more digits than its factorization.

31060185121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 31060185121 in words is "thirty-one billion, sixty million, one hundred eighty-five thousand, one hundred twenty-one".

Divisors: 1 7 17 49 119 289 833 1481 2023 10367 14161 25177 72569 176239 428009 1233673 2193361 2996063 15353527 20972441 37287137 107474689 261009959 633881329 1827069713 4437169303 31060185121