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130933071 = 3337313001
BaseRepresentation
bin1111100110111…
…10000101001111
3100010101002102000
413303132011033
5232004324241
620554203343
73146625033
oct763360517
9303332360
10130933071
11679a9a55
1237a23553
13211843b9
14135641c3
15b764eb6
hex7cde14f

130933071 has 16 divisors (see below), whose sum is σ = 194509920. Its totient is φ = 87048000.

The previous prime is 130933051. The next prime is 130933079. The reversal of 130933071 is 170339031.

It is not a de Polignac number, because 130933071 - 25 = 130933039 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130933079) 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 15 ways as a sum of consecutive naturals, for example, 3571 + ... + 16571.

It is an arithmetic number, because the mean of its divisors is an integer number (12156870).

Almost surely, 2130933071 is an apocalyptic number.

130933071 is a deficient number, since it is larger than the sum of its proper divisors (63576849).

130933071 is a wasteful number, since it uses less digits than its factorization.

130933071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13383 (or 13377 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 130933071 is about 11442.5989617744. The cubic root of 130933071 is about 507.7888004927.

The spelling of 130933071 in words is "one hundred thirty million, nine hundred thirty-three thousand, seventy-one".

Divisors: 1 3 9 27 373 1119 3357 10071 13001 39003 117009 351027 4849373 14548119 43644357 130933071