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130339833 = 31317296779
BaseRepresentation
bin1111100010011…
…01001111111001
3100002020221122020
413301031033321
5231331333313
620533345053
73141604341
oct761151771
9302227566
10130339833
1167634278
1237798189
1321007380
141344bd21
15b699323
hex7c4d3f9

130339833 has 32 divisors (see below), whose sum is σ = 205027200. Its totient is φ = 72877056.

The previous prime is 130339831. The next prime is 130339843. The reversal of 130339833 is 338933031.

It is not a de Polignac number, because 130339833 - 21 = 130339831 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130339794 and 130339803.

It is not an unprimeable number, because it can be changed into a prime (130339831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15838 + ... + 22616.

It is an arithmetic number, because the mean of its divisors is an integer number (6407100).

Almost surely, 2130339833 is an apocalyptic number.

130339833 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130339833 is a deficient number, since it is larger than the sum of its proper divisors (74687367).

130339833 is a wasteful number, since it uses less digits than its factorization.

130339833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841.

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 130339833 is about 11416.6471873313. The cubic root of 130339833 is about 507.0207344982.

The spelling of 130339833 in words is "one hundred thirty million, three hundred thirty-nine thousand, eight hundred thirty-three".

Divisors: 1 3 13 17 29 39 51 87 221 377 493 663 1131 1479 6409 6779 19227 20337 88127 115243 196591 264381 345729 589773 1498159 2555683 3342047 4494477 7667049 10026141 43446611 130339833