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131011422025 = 5211265812
BaseRepresentation
bin111101000000011100…
…0111010011101001001
3110112011102002210210211
41322000320322131021
54121302411001100
6140104045241121
712315404466421
oct1720070723511
9415142083724
10131011422025
115061a594500
12214835631a1
13c47b5b08c3
1464ab94b481
15361ba4e1ba
hex1e80e3a749

131011422025 has 27 divisors (see below), whose sum is σ = 178592457589. Its totient is φ = 95266556000.

The previous prime is 131011422023. The next prime is 131011422037. The reversal of 131011422025 is 520224110131.

The square root of 131011422025 is 361955.

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 21413346889 + 109598075136 = 146333^2 + 331056^2 .

It is not a de Polignac number, because 131011422025 - 21 = 131011422023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131011421987 and 131011422005.

It is not an unprimeable number, because it can be changed into a prime (131011422023) 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, 19904235 + ... + 19910815.

Almost surely, 2131011422025 is an apocalyptic number.

131011422025 is the 361955-th square number.

131011422025 is the 180978-th centered octagonal number.

It is an amenable number.

131011422025 is a deficient number, since it is larger than the sum of its proper divisors (47581035564).

131011422025 is an frugal number, since it uses more digits than its factorization.

131011422025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13194 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 131011422025 its reverse (520224110131), we get a palindrome (651235532156).

The spelling of 131011422025 in words is "one hundred thirty-one billion, eleven million, four hundred twenty-two thousand, twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 6581 32905 72391 164525 361955 796301 1809775 3981505 19907525 43309561 216547805 476405171 1082739025 2382025855 5240456881 11910129275 26202284405 131011422025