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103131112331 = 13181119336739
BaseRepresentation
bin110000000001100010…
…1111110001110001011
3100212012101101022220002
41200003011332032023
53142203031043311
6115213333353215
710310453663612
oct1400305761613
9325171338802
10103131112331
113a812908145
1217ba249880b
13995740bb30
144dc4c36879
152a3907b93b
hex180317e38b

103131112331 has 16 divisors (see below), whose sum is σ = 111774542880. Its totient is φ = 94590063360.

The previous prime is 103131112309. The next prime is 103131112333. The reversal of 103131112331 is 133211131301.

It is not a de Polignac number, because 103131112331 - 218 = 103130850187 is a prime.

It is a super-2 number, since 2×1031311123312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103131112333) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2788760 + ... + 2825498.

It is an arithmetic number, because the mean of its divisors is an integer number (6985908930).

Almost surely, 2103131112331 is an apocalyptic number.

103131112331 is a deficient number, since it is larger than the sum of its proper divisors (8643430549).

103131112331 is a wasteful number, since it uses less digits than its factorization.

103131112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38126.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 103131112331 its reverse (133211131301), we get a palindrome (236342243632).

The spelling of 103131112331 in words is "one hundred three billion, one hundred thirty-one million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 13 181 1193 2353 15509 36739 215933 477607 2807129 6649759 43829627 86446867 569785151 7933162487 103131112331