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131122340352225 = 3252582765957121
BaseRepresentation
bin11101110100000101001100…
…100001001101000011100001
3122012021011200100101112110100
4131310011030201031003201
5114141302023112232400
61142512434354453013
736422163554250315
oct3564051441150341
9565234610345410
10131122340352225
113886374385a532
121285847a594169
135821a2586b191
1424544d86c1b45
151025bd64a8100
hex77414c84d0e1

131122340352225 has 18 divisors (see below), whose sum is σ = 234854680720166. Its totient is φ = 69931914854400.

The previous prime is 131122340352217. The next prime is 131122340352271. The reversal of 131122340352225 is 522253043221131.

131122340352225 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 23 + 403 + 5 + 2 + 225 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13357044063441 + 117765296288784 = 3654729^2 + 10851972^2 .

It is not a de Polignac number, because 131122340352225 - 23 = 131122340352217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131122340352225.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 291382978336 + ... + 291382978785.

Almost surely, 2131122340352225 is an apocalyptic number.

131122340352225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131122340352225 is a deficient number, since it is larger than the sum of its proper divisors (103732340367941).

131122340352225 is a wasteful number, since it uses less digits than its factorization.

131122340352225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582765957137 (or 582765957129 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 131122340352225 its reverse (522253043221131), we get a palindrome (653375383573356).

The spelling of 131122340352225 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, three hundred forty million, three hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 582765957121 1748297871363 2913829785605 5244893614089 8741489356815 14569148928025 26224468070445 43707446784075 131122340352225