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130072319 = 1317955897
BaseRepresentation
bin1111100000010…
…11111011111111
3100001202100200022
413300023323333
5231244303234
620523522355
73136411406
oct760137377
9301670608
10130072319
1167471293
12376893bb
1320c42690
14133bc63d
15b644e2e
hex7c0beff

130072319 has 8 divisors (see below), whose sum is σ = 140862960. Its totient is φ = 119393856.

The previous prime is 130072307. The next prime is 130072333. The reversal of 130072319 is 913270031.

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

It is a cyclic number.

It is not a de Polignac number, because 130072319 - 216 = 130006783 is a prime.

It is a super-2 number, since 2×1300723192 = 33837616340075522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130072399) 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 7 ways as a sum of consecutive naturals, for example, 25622 + ... + 30275.

It is an arithmetic number, because the mean of its divisors is an integer number (17607870).

Almost surely, 2130072319 is an apocalyptic number.

130072319 is a deficient number, since it is larger than the sum of its proper divisors (10790641).

130072319 is a wasteful number, since it uses less digits than its factorization.

130072319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56089.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 130072319 is about 11404.9252079968. The cubic root of 130072319 is about 506.6736212592.

The spelling of 130072319 in words is "one hundred thirty million, seventy-two thousand, three hundred nineteen".

Divisors: 1 13 179 2327 55897 726661 10005563 130072319