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130522431 = 31331472297
BaseRepresentation
bin1111100011110…
…01110100111111
3100002121020010010
413301321310333
5231403204211
620541314303
73143264604
oct761716477
9302536103
10130522431
1167749486
1237865993
132106c510
14134986ab
15b6d34a6
hex7c79d3f

130522431 has 32 divisors (see below), whose sum is σ = 197664768. Its totient is φ = 76043520.

The previous prime is 130522423. The next prime is 130522433. The reversal of 130522431 is 134225031.

It is not a de Polignac number, because 130522431 - 23 = 130522423 is a prime.

It is a super-2 number, since 2×1305224312 = 34072209988299522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130522398 and 130522407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130522433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55675 + ... + 57971.

It is an arithmetic number, because the mean of its divisors is an integer number (6177024).

Almost surely, 2130522431 is an apocalyptic number.

130522431 is a deficient number, since it is larger than the sum of its proper divisors (67142337).

130522431 is a wasteful number, since it uses less digits than its factorization.

130522431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 130522431 is about 11424.6413948097. The cubic root of 130522431 is about 507.2573921906.

Adding to 130522431 its reverse (134225031), we get a palindrome (264747462).

The spelling of 130522431 in words is "one hundred thirty million, five hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 13 31 39 47 93 141 403 611 1209 1457 1833 2297 4371 6891 18941 29861 56823 71207 89583 107959 213621 323877 925691 1403467 2777073 3346729 4210401 10040187 43507477 130522431