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130129395 = 35114318341
BaseRepresentation
bin1111100000110…
…01110111110011
3100001212020222020
413300121313303
5231303120040
620525042523
73140036664
oct760316763
9301766866
10130129395
1167500160
12376b6443
1320c62656
14133d536b
15b656cd0
hex7c19df3

130129395 has 32 divisors (see below), whose sum is σ = 232429824. Its totient is φ = 61622400.

The previous prime is 130129387. The next prime is 130129399. The reversal of 130129395 is 593921031.

It is not a de Polignac number, because 130129395 - 23 = 130129387 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (130129399) 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, 2076 + ... + 16265.

It is an arithmetic number, because the mean of its divisors is an integer number (7263432).

Almost surely, 2130129395 is an apocalyptic number.

130129395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130129395 is a deficient number, since it is larger than the sum of its proper divisors (102300429).

130129395 is a wasteful number, since it uses less digits than its factorization.

130129395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18403.

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 130129395 is about 11407.4271858294. The cubic root of 130129395 is about 506.7477202296.

The spelling of 130129395 in words is "one hundred thirty million, one hundred twenty-nine thousand, three hundred ninety-five".

Divisors: 1 3 5 11 15 33 43 55 129 165 215 473 645 1419 2365 7095 18341 55023 91705 201751 275115 605253 788663 1008755 2365989 3026265 3943315 8675293 11829945 26025879 43376465 130129395