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130130319 = 31110139043
BaseRepresentation
bin1111100000110…
…10000110001111
3100001212022020110
413300122012033
5231303132234
620525051103
73140042454
oct760320617
9301768213
10130130319
1167500920
12376b6a93
1320c62bb7
14133d582b
15b6571e9
hex7c1a18f

130130319 has 16 divisors (see below), whose sum is σ = 191159424. Its totient is φ = 78084000.

The previous prime is 130130309. The next prime is 130130321. The reversal of 130130319 is 913031031.

It is not a de Polignac number, because 130130319 - 219 = 129606031 is a prime.

It is a super-2 number, since 2×1301303192 = 33867799846083522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130130295 and 130130304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130130309) 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, 16189 + ... + 22854.

It is an arithmetic number, because the mean of its divisors is an integer number (11947464).

Almost surely, 2130130319 is an apocalyptic number.

130130319 is a deficient number, since it is larger than the sum of its proper divisors (61029105).

130130319 is a wasteful number, since it uses less digits than its factorization.

130130319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39158.

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 130130319 is about 11407.4676856873. The cubic root of 130130319 is about 506.7489196352.

The spelling of 130130319 in words is "one hundred thirty million, one hundred thirty thousand, three hundred nineteen".

Divisors: 1 3 11 33 101 303 1111 3333 39043 117129 429473 1288419 3943343 11830029 43376773 130130319