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130021137 = 3253272581
BaseRepresentation
bin1111011111111…
…11011100010001
3100001122202110200
413233333130101
5231241134022
620522445413
73136106241
oct757773421
9301582420
10130021137
1167436894
1237663869
1320c252ac
14133a7b21
15b634bac
hex7bff711

130021137 has 12 divisors (see below), whose sum is σ = 191352564. Its totient is φ = 85044960.

The previous prime is 130021109. The next prime is 130021153. The reversal of 130021137 is 731120031.

It can be written as a sum of positive squares in 2 ways, for example, as 88341201 + 41679936 = 9399^2 + 6456^2 .

It is not a de Polignac number, because 130021137 - 211 = 130019089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130021337) 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 11 ways as a sum of consecutive naturals, for example, 135814 + ... + 136767.

It is an arithmetic number, because the mean of its divisors is an integer number (15946047).

Almost surely, 2130021137 is an apocalyptic number.

It is an amenable number.

130021137 is a deficient number, since it is larger than the sum of its proper divisors (61331427).

130021137 is a wasteful number, since it uses less digits than its factorization.

130021137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272640 (or 272637 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 130021137 is about 11402.6811320847. The cubic root of 130021137 is about 506.6071557431.

Adding to 130021137 its reverse (731120031), we get a palindrome (861141168).

The spelling of 130021137 in words is "one hundred thirty million, twenty-one thousand, one hundred thirty-seven".

Divisors: 1 3 9 53 159 477 272581 817743 2453229 14446793 43340379 130021137