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131003430930 = 23251455593677
BaseRepresentation
bin111101000000001101…
…0011011100000010010
3110112010212001211002100
41322000122123200102
54121243334242210
6140103202101230
712315246534651
oct1720032334022
9415125054070
10131003430930
1150616026699
122148094a816
13c479a43548
1464aa86b198
15361aec15c0
hex1e8069b812

131003430930 has 24 divisors (see below), whose sum is σ = 340608920652. Its totient is φ = 34934248224.

The previous prime is 131003430881. The next prime is 131003430949. The reversal of 131003430930 is 39034300131.

131003430930 is a `hidden beast` number, since 1 + 310 + 0 + 343 + 0 + 9 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130632367761 + 371063169 = 361431^2 + 19263^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131003430894 and 131003430903.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727796749 + ... + 727796928.

Almost surely, 2131003430930 is an apocalyptic number.

131003430930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131003430930 is an abundant number, since it is smaller than the sum of its proper divisors (209605489722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131003430930 is a wasteful number, since it uses less digits than its factorization.

131003430930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455593690 (or 1455593687 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

It can be divided in two parts, 1310034 and 30930, that added together give a square (1340964 = 11582).

The spelling of 131003430930 in words is "one hundred thirty-one billion, three million, four hundred thirty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1455593677 2911187354 4366781031 7277968385 8733562062 13100343093 14555936770 21833905155 26200686186 43667810310 65501715465 131003430930