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13332432311 = 1125911231663
BaseRepresentation
bin11000110101010110…
…01100010110110111
31021102011022201212022
430122223030112313
5204301100313221
610042544143355
7651250543022
oct143253142667
937364281768
1013332432311
1157218a0800
122701007b5b
131346216903
149069821b9
1553071a4ab
hex31aacc5b7

13332432311 has 24 divisors (see below), whose sum is σ = 14925281280. Its totient is φ = 11897194320.

The previous prime is 13332432299. The next prime is 13332432319. The reversal of 13332432311 is 11323423331.

It is not a de Polignac number, because 13332432311 - 214 = 13332415927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332432319) 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, 8016266 + ... + 8017928.

It is an arithmetic number, because the mean of its divisors is an integer number (621886720).

Almost surely, 213332432311 is an apocalyptic number.

13332432311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13332432311 is a deficient number, since it is larger than the sum of its proper divisors (1592848969).

13332432311 is a wasteful number, since it uses less digits than its factorization.

13332432311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2856 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

Adding to 13332432311 its reverse (11323423331), we get a palindrome (24655855642).

The spelling of 13332432311 in words is "thirteen billion, three hundred thirty-two million, four hundred thirty-two thousand, three hundred eleven".

Divisors: 1 11 59 121 649 1123 1663 7139 12353 18293 66257 98117 135883 201223 728827 1079287 1867549 8017097 11872157 20543039 110185391 225973429 1212039301 13332432311