Search a number
-
+
13631155113631 = 1117136935323441
BaseRepresentation
bin1100011001011100000000…
…1010001000111010011111
31210021010101122012100011011
43012113000022020322133
53241313101202114011
644554022145040051
72604550505504446
oct306270012107237
953233348170134
1013631155113631
114385a38775290
121641986326027
1377b5490b74b3
14351a73cbbd5d
1518989e74e621
hexc65c0288e9f

13631155113631 has 16 divisors (see below), whose sum is σ = 15746230385568. Its totient is φ = 11662166476800.

The previous prime is 13631155113617. The next prime is 13631155113647.

13631155113631 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13631155113631 - 211 = 13631155111583 is a prime.

It is a super-2 number, since 2×136311551136312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13631155113691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101130 + ... + 5222311.

It is an arithmetic number, because the mean of its divisors is an integer number (984139399098).

Almost surely, 213631155113631 is an apocalyptic number.

13631155113631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13631155113631 is a deficient number, since it is larger than the sum of its proper divisors (2115075271937).

13631155113631 is a wasteful number, since it uses less digits than its factorization.

13631155113631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337162.

The product of its digits is 72900, while the sum is 40.

It can be divided in two parts, 1363115 and 5113631, that added together give a palindrome (6476746).

The spelling of 13631155113631 in words is "thirteen trillion, six hundred thirty-one billion, one hundred fifty-five million, one hundred thirteen thousand, six hundred thirty-one".

Divisors: 1 11 17 187 13693 150623 232781 2560591 5323441 58557851 90498497 995483467 72893877613 801832653743 1239195919421 13631155113631