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130461331527 = 3229017499559
BaseRepresentation
bin111100110000000011…
…0011111000001000111
3110110202002000022111200
41321200012133001013
54114141100102102
6135533315033543
712265645010142
oct1714006370107
9413662008450
10130461331527
115036802535a
122134b29b8b3
13c3c163b177
146458877059
1535d85de51c
hex1e6019f047

130461331527 has 12 divisors (see below), whose sum is σ = 188451017040. Its totient is φ = 86971049568.

The previous prime is 130461331523. The next prime is 130461331571. The reversal of 130461331527 is 725133164031.

130461331527 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 613 + 3 + 15 + 27 = 666.

It is not a de Polignac number, because 130461331527 - 22 = 130461331523 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130461331491 and 130461331500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130461331523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11374 + ... + 510932.

It is an arithmetic number, because the mean of its divisors is an integer number (15704251420).

Almost surely, 2130461331527 is an apocalyptic number.

130461331527 is a deficient number, since it is larger than the sum of its proper divisors (57989685513).

130461331527 is a wasteful number, since it uses less digits than its factorization.

130461331527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528582 (or 528579 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 130461331527 its reverse (725133164031), we get a palindrome (855594495558).

The spelling of 130461331527 in words is "one hundred thirty billion, four hundred sixty-one million, three hundred thirty-one thousand, five hundred twenty-seven".

Divisors: 1 3 9 29017 87051 261153 499559 1498677 4496031 14495703503 43487110509 130461331527