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20131130131 = 743112959239
BaseRepresentation
bin10010101111111010…
…001010101100010011
31220221222021100222021
4102233322022230103
5312212032131011
613125331552311
71311603532330
oct225772125423
956858240867
1020131130131
1185a0553032
123a99a5b697
131b8a8ca928
14d8d89b987
157cc51e471
hex4afe8ab13

20131130131 has 16 divisors (see below), whose sum is σ = 23563302400. Its totient is φ = 16838756928.

The previous prime is 20131130101. The next prime is 20131130137. The reversal of 20131130131 is 13103113102.

It is not a de Polignac number, because 20131130131 - 27 = 20131130003 is a prime.

It is a super-2 number, since 2×201311301312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20131130137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310210 + ... + 369448.

It is an arithmetic number, because the mean of its divisors is an integer number (1472706400).

Almost surely, 220131130131 is an apocalyptic number.

20131130131 is a deficient number, since it is larger than the sum of its proper divisors (3432172269).

20131130131 is a wasteful number, since it uses less digits than its factorization.

20131130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60418.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 20131130131 its reverse (13103113102), we get a palindrome (33234243233).

The spelling of 20131130131 in words is "twenty billion, one hundred thirty-one million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 7 43 301 1129 7903 48547 59239 339829 414673 2547277 17830939 66880831 468165817 2875875733 20131130131