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10131434130 = 235337714471
BaseRepresentation
bin10010110111110000…
…10110101010010010
3222011002002011212010
421123320112222102
5131222121343010
64353155443350
7506031524556
oct113370265222
928132064763
1010131434130
114329a26464
121b68bb6556
13c55cb894c
146c17b7866
153e46c1620
hex25be16a92

10131434130 has 16 divisors (see below), whose sum is σ = 24315441984. Its totient is φ = 2701715760.

The previous prime is 10131434123. The next prime is 10131434149. The reversal of 10131434130 is 3143413101.

10131434130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10131434097 and 10131434106.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 168857206 + ... + 168857265.

It is an arithmetic number, because the mean of its divisors is an integer number (1519715124).

Almost surely, 210131434130 is an apocalyptic number.

10131434130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10131434130 is an abundant number, since it is smaller than the sum of its proper divisors (14184007854).

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

10131434130 is a wasteful number, since it uses less digits than its factorization.

10131434130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337714481.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10131434130 its reverse (3143413101), we get a palindrome (13274847231).

The spelling of 10131434130 in words is "ten billion, one hundred thirty-one million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 337714471 675428942 1013143413 1688572355 2026286826 3377144710 5065717065 10131434130