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130153023 = 327111314447
BaseRepresentation
bin1111100000111…
…11101000111111
3100001220110101100
413300133220333
5231304344043
620525344143
73140165610
oct760375077
9301813340
10130153023
1167516990
1237708053
1320c70330
14133ddc07
15b65dcd3
hex7c1fa3f

130153023 has 48 divisors (see below), whose sum is σ = 252435456. Its totient is φ = 62406720.

The previous prime is 130152991. The next prime is 130153039. The reversal of 130153023 is 320351031.

130153023 is a `hidden beast` number, since 130 + 1 + 530 + 2 + 3 = 666.

It is not a de Polignac number, because 130153023 - 25 = 130152991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130152987 and 130153005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130153043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1786 + ... + 16232.

It is an arithmetic number, because the mean of its divisors is an integer number (5259072).

Almost surely, 2130153023 is an apocalyptic number.

130153023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

130153023 is a deficient number, since it is larger than the sum of its proper divisors (122282433).

130153023 is a wasteful number, since it uses less digits than its factorization.

130153023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14484 (or 14481 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130153023 is about 11408.4627798841. The cubic root of 130153023 is about 506.7783889613.

The spelling of 130153023 in words is "one hundred thirty million, one hundred fifty-three thousand, twenty-three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 14447 43341 101129 130023 158917 187811 303387 476751 563433 910161 1112419 1314677 1430253 1690299 2065921 3337257 3944031 6197763 10011771 11832093 14461447 18593289 43384341 130153023