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130312561 = 312135601
BaseRepresentation
bin1111100010001…
…10100101110001
3100002012120020011
413301012211301
5231330000221
620533014521
73141432001
oct761064561
9302176204
10130312561
1167615835
1237784441
1320cc7b32
1413442001
15b6911e1
hex7c46971

130312561 has 6 divisors (see below), whose sum is σ = 134652786. Its totient is φ = 126108000.

The previous prime is 130312513. The next prime is 130312577. The reversal of 130312561 is 165213031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100881936 + 29430625 = 10044^2 + 5425^2 .

It is a de Polignac number, because none of the positive numbers 2k-130312561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130312591) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66840 + ... + 68761.

It is an arithmetic number, because the mean of its divisors is an integer number (22442131).

Almost surely, 2130312561 is an apocalyptic number.

It is an amenable number.

130312561 is a deficient number, since it is larger than the sum of its proper divisors (4340225).

130312561 is an equidigital number, since it uses as much as digits as its factorization.

130312561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135663 (or 135632 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 130312561 is about 11415.4527286481. The cubic root of 130312561 is about 506.9853694230.

Adding to 130312561 its reverse (165213031), we get a palindrome (295525592).

The spelling of 130312561 in words is "one hundred thirty million, three hundred twelve thousand, five hundred sixty-one".

Divisors: 1 31 961 135601 4203631 130312561