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130130577 = 335981689
BaseRepresentation
bin1111100000110…
…10001010010001
3100001212022121000
413300122022101
5231303134302
620525052213
73140043303
oct760321221
9301768530
10130130577
1167501035
12376b7069
1320c63055
14133d5973
15b65731c
hex7c1a291

130130577 has 16 divisors (see below), whose sum is σ = 196056000. Its totient is φ = 85282272.

The previous prime is 130130557. The next prime is 130130579. The reversal of 130130577 is 775031031.

It is not a de Polignac number, because 130130577 - 28 = 130130321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 130130577.

It is not an unprimeable number, because it can be changed into a prime (130130579) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39252 + ... + 42437.

It is an arithmetic number, because the mean of its divisors is an integer number (12253500).

Almost surely, 2130130577 is an apocalyptic number.

It is an amenable number.

130130577 is a deficient number, since it is larger than the sum of its proper divisors (65925423).

130130577 is an equidigital number, since it uses as much as digits as its factorization.

130130577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81757 (or 81751 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 130130577 is about 11407.4789940635. The cubic root of 130130577 is about 506.7492545332.

It can be divided in two parts, 1301 and 30577, that added together give a triangular number (31878 = T252).

The spelling of 130130577 in words is "one hundred thirty million, one hundred thirty thousand, five hundred seventy-seven".

Divisors: 1 3 9 27 59 177 531 1593 81689 245067 735201 2205603 4819651 14458953 43376859 130130577