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131047620025 = 5272103432
BaseRepresentation
bin111101000001100001…
…0111111110110111001
3110112020221012212010111
41322003002333312321
54121341142320100
6140111421144321
712316324251100
oct1720302776671
9415227185114
10131047620025
1150638a68603
12214936bb0a1
13c485c45a3a
1464b2691037
15361ecee6ba
hex1e830bfdb9

131047620025 has 27 divisors (see below), whose sum is σ = 189047783631. Its totient is φ = 89852537040.

The previous prime is 131047620023. The next prime is 131047620029. The reversal of 131047620025 is 520026740131.

The square root of 131047620025 is 362005.

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

It can be written as a sum of positive squares in only one way, i.e., 47177143209 + 83870476816 = 217203^2 + 289604^2 .

It is not a de Polignac number, because 131047620025 - 21 = 131047620023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131047620023) 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, 12665004 + ... + 12675346.

Almost surely, 2131047620025 is an apocalyptic number.

131047620025 is the 362005-th square number.

131047620025 is the 181003-rd centered octagonal number.

It is an amenable number.

131047620025 is a deficient number, since it is larger than the sum of its proper divisors (58000163606).

131047620025 is an frugal number, since it uses more digits than its factorization.

131047620025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20710 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 131047620025 in words is "one hundred thirty-one billion, forty-seven million, six hundred twenty thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 10343 51715 72401 258575 362005 506807 1810025 2534035 12670175 106977649 534888245 748843543 2674441225 3744217715 5241904801 18721088575 26209524005 131047620025