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130151853 = 3413123601
BaseRepresentation
bin1111100000111…
…11010110101101
3100001220101210000
413300133112231
5231304324403
620525334513
73140162316
oct760372655
9301811700
10130151853
1167516017
1237707439
1320c6c940
14133dd60d
15b65d7a3
hex7c1f5ad

130151853 has 20 divisors (see below), whose sum is σ = 209381788. Its totient is φ = 80092800.

The previous prime is 130151807. The next prime is 130151863. The reversal of 130151853 is 358151031.

It can be written as a sum of positive squares in 2 ways, for example, as 83119689 + 47032164 = 9117^2 + 6858^2 .

It is not a de Polignac number, because 130151853 - 210 = 130150829 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130151803) 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 19 ways as a sum of consecutive naturals, for example, 60748 + ... + 62853.

Almost surely, 2130151853 is an apocalyptic number.

130151853 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130151853 is a deficient number, since it is larger than the sum of its proper divisors (79229935).

130151853 is a wasteful number, since it uses less digits than its factorization.

130151853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123626 (or 123617 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 130151853 is about 11408.4115020453. The cubic root of 130151853 is about 506.7768704091.

The spelling of 130151853 in words is "one hundred thirty million, one hundred fifty-one thousand, eight hundred fifty-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 123601 370803 1112409 1606813 3337227 4820439 10011681 14461317 43383951 130151853