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13131210023 = 1719210719997
BaseRepresentation
bin11000011101010111…
…00101110100100111
31020220010200120202222
430032223211310213
5203343042210043
610010555222555
7643255305101
oct141653456447
936803616688
1013131210023
115629253498
122665747a5b
131313622179
148c7d62571
1551cc1dd68
hex30eae5d27

13131210023 has 24 divisors (see below), whose sum is σ = 14811798672. Its totient is φ = 11598319872.

The previous prime is 13131210019. The next prime is 13131210031. The reversal of 13131210023 is 32001213131.

It is not a de Polignac number, because 13131210023 - 22 = 13131210019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13131209983 and 13131210010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131210013) 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 23 ways as a sum of consecutive naturals, for example, 646661 + ... + 666657.

It is an arithmetic number, because the mean of its divisors is an integer number (617158278).

Almost surely, 213131210023 is an apocalyptic number.

13131210023 is a deficient number, since it is larger than the sum of its proper divisors (1680588649).

13131210023 is a wasteful number, since it uses less digits than its factorization.

13131210023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20159 (or 20140 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13131210023 its reverse (32001213131), we get a palindrome (45132423154).

The spelling of 13131210023 in words is "thirteen billion, one hundred thirty-one million, two hundred ten thousand, twenty-three".

Divisors: 1 17 19 107 323 361 1819 2033 6137 19997 34561 38627 339949 379943 656659 2139679 6459031 7218917 36374543 40653901 122721589 691116317 772424119 13131210023