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13123201311 = 3411130111321
BaseRepresentation
bin11000011100011010…
…00010100100011111
31020212120121200220000
430032031002210133
5203334014420221
610010111425343
7643130241063
oct141615024437
936776550800
1013123201311
115624783420
122662b25253
131311a79a9c
148c6c79aa3
1551c18ae26
hex30e34291f

13123201311 has 40 divisors (see below), whose sum is σ = 21404286288. Its totient is φ = 7946640000.

The previous prime is 13123201309. The next prime is 13123201327. The reversal of 13123201311 is 11310232131.

13123201311 is a `hidden beast` number, since 1 + 31 + 2 + 320 + 1 + 311 = 666.

It is not a de Polignac number, because 13123201311 - 21 = 13123201309 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123201381) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1153531 + ... + 1164851.

Almost surely, 213123201311 is an apocalyptic number.

13123201311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13123201311 is a deficient number, since it is larger than the sum of its proper divisors (8281084977).

13123201311 is a wasteful number, since it uses less digits than its factorization.

13123201311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12645 (or 12636 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13123201311 its reverse (11310232131), we get a palindrome (24433433442).

The spelling of 13123201311 in words is "thirteen billion, one hundred twenty-three million, two hundred one thousand, three hundred eleven".

Divisors: 1 3 9 11 27 33 81 99 297 891 1301 3903 11321 11709 14311 33963 35127 42933 101889 105381 124531 128799 305667 373593 386397 917001 1120779 1159191 3362337 10087011 14728621 44185863 132557589 162014831 397672767 486044493 1193018301 1458133479 4374400437 13123201311