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130053261 = 3133790127
BaseRepresentation
bin1111100000001…
…11010010001101
3100001201101112110
413300013102031
5231243201021
620523254233
73136302012
oct760072215
9301641473
10130053261
1167458a38
123767a379
1320c36ac0
14133b5709
15b63e476
hex7c0748d

130053261 has 16 divisors (see below), whose sum is σ = 191792384. Its totient is φ = 77868864.

The previous prime is 130053251. The next prime is 130053283. The reversal of 130053261 is 162350031.

It is not a de Polignac number, because 130053261 - 25 = 130053229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130053211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43621 + ... + 46506.

It is an arithmetic number, because the mean of its divisors is an integer number (11987024).

Almost surely, 2130053261 is an apocalyptic number.

It is an amenable number.

130053261 is a deficient number, since it is larger than the sum of its proper divisors (61739123).

130053261 is a wasteful number, since it uses less digits than its factorization.

130053261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90180.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 130053261 is about 11404.0896611698. The cubic root of 130053261 is about 506.6488743656.

The spelling of 130053261 in words is "one hundred thirty million, fifty-three thousand, two hundred sixty-one".

Divisors: 1 3 13 37 39 111 481 1443 90127 270381 1171651 3334699 3514953 10004097 43351087 130053261