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13983397131 = 311523810209
BaseRepresentation
bin11010000010111100…
…11011010100001011
31100002112020011201110
431001132123110023
5212114222202011
610231320421403
71003343625444
oct150136332413
940075204643
1013983397131
115a26299260
122863017863
13141b047ab2
149691d42cb
1556c953ba6
hex34179b50b

13983397131 has 16 divisors (see below), whose sum is σ = 20378401920. Its totient is φ = 8458571520.

The previous prime is 13983397121. The next prime is 13983397151. The reversal of 13983397131 is 13179338931.

13983397131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13983397131 - 27 = 13983397003 is a prime.

It is a super-2 number, since 2×139833971312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13983397121) 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, 387846 + ... + 422363.

It is an arithmetic number, because the mean of its divisors is an integer number (1273650120).

Almost surely, 213983397131 is an apocalyptic number.

13983397131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13983397131 is a deficient number, since it is larger than the sum of its proper divisors (6395004789).

13983397131 is a wasteful number, since it uses less digits than its factorization.

13983397131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810746.

The product of its digits is 367416, while the sum is 48.

It can be divided in two parts, 13983 and 397131, that added together give a palindrome (411114).

The spelling of 13983397131 in words is "thirteen billion, nine hundred eighty-three million, three hundred ninety-seven thousand, one hundred thirty-one".

Divisors: 1 3 11 33 523 1569 5753 17259 810209 2430627 8912299 26736897 423739307 1271217921 4661132377 13983397131