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1311300000023 = 131783709100829
BaseRepresentation
bin10011000101001111100…
…100100001100100010111
311122100200202021221010112
4103011033210201210113
5132441020300000043
62442223005513235
7163511144044016
oct23051744414427
94570622257115
101311300000023
11466134734492
1219217b87281b
139686921c8a0
144767822ca7d
152419aec3518
hex1314f921917

1311300000023 has 32 divisors (see below), whose sum is σ = 1515402302400. Its totient is φ = 1123904710656.

The previous prime is 1311300000007. The next prime is 1311300000029. The reversal of 1311300000023 is 3200000031131.

It is not a de Polignac number, because 1311300000023 - 24 = 1311300000007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311299999953 and 1311300000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311300000029) 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 31 ways as a sum of consecutive naturals, for example, 12954773 + ... + 13055601.

It is an arithmetic number, because the mean of its divisors is an integer number (47356321950).

Almost surely, 21311300000023 is an apocalyptic number.

1311300000023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1311300000023 is a deficient number, since it is larger than the sum of its proper divisors (204102302377).

1311300000023 is a wasteful number, since it uses less digits than its factorization.

1311300000023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101651.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1311300000023 its reverse (3200000031131), we get a palindrome (4511300031154).

The spelling of 1311300000023 in words is "one trillion, three hundred eleven billion, three hundred million, twenty-three", and thus it is an aban number.

Divisors: 1 13 17 83 221 709 1079 1411 9217 12053 18343 58847 100829 156689 765011 1000399 1310777 1714093 8368807 13005187 22283209 71487761 108794491 142269719 929340893 1215291937 1849506347 5933484163 15798795181 77135294119 100869230771 1311300000023