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130010031 = 3214599901
BaseRepresentation
bin1111011111111…
…00101110101111
3100001122012020100
413233330232233
5231240310111
620522322143
73136031664
oct757745657
9301565210
10130010031
1167429508
1237659353
1320c20218
14133a3a6b
15b631756
hex7bfcbaf

130010031 has 12 divisors (see below), whose sum is σ = 187939960. Its totient is φ = 86605200.

The previous prime is 130010009. The next prime is 130010047.

130010031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130010031 - 27 = 130009903 is a prime.

It is a super-2 number, since 2×1300100312 = 33805216321241922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130009995 and 130010022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130010831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8181 + ... + 18081.

Almost surely, 2130010031 is an apocalyptic number.

130010031 is a deficient number, since it is larger than the sum of its proper divisors (57929929).

130010031 is a wasteful number, since it uses less digits than its factorization.

130010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11366 (or 11363 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 130010031 is about 11402.1941309557. The cubic root of 130010031 is about 506.5927310647.

The spelling of 130010031 in words is "one hundred thirty million, ten thousand, thirty-one".

Divisors: 1 3 9 1459 4377 9901 13131 29703 89109 14445559 43336677 130010031