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130005577 = 1315763697
BaseRepresentation
bin1111011111110…
…11101001001001
3100001121222010101
413233323221021
5231240134302
620522245401
73136013002
oct757735111
9301558111
10130005577
1167426129
1237656861
1320c1b1a0
14133a21a9
15b630287
hex7bfba49

130005577 has 8 divisors (see below), whose sum is σ = 140899976. Its totient is φ = 119238912.

The previous prime is 130005571. The next prime is 130005587. The reversal of 130005577 is 775500031.

It can be written as a sum of positive squares in 4 ways, for example, as 5035536 + 124970041 = 2244^2 + 11179^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 130005577 - 23 = 130005569 is a prime.

It is a super-2 number, since 2×1300055772 = 33802900102205858, which contains 22 as substring.

It is a Duffinian number.

130005577 is a modest number, since divided by 5577 gives 130 as remainder.

It is not an unprimeable number, because it can be changed into a prime (130005571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29808 + ... + 33889.

It is an arithmetic number, because the mean of its divisors is an integer number (17612497).

Almost surely, 2130005577 is an apocalyptic number.

It is an amenable number.

130005577 is a deficient number, since it is larger than the sum of its proper divisors (10894399).

130005577 is a wasteful number, since it uses less digits than its factorization.

130005577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63867.

The product of its (nonzero) digits is 3675, while the sum is 28.

The square root of 130005577 is about 11401.9988159971. The cubic root of 130005577 is about 506.5869458962.

The spelling of 130005577 in words is "one hundred thirty million, five thousand, five hundred seventy-seven".

Divisors: 1 13 157 2041 63697 828061 10000429 130005577