Search a number
-
+
13201500510231 = 3111794547248893
BaseRepresentation
bin1100000000011011011010…
…1111111001100000010111
31201202001101021021000211220
43000012312233321200113
53212243133112311411
644024404031501423
72531530326566655
oct300066657714027
951661337230756
1013201500510231
11422a7a796a4a0
121592657987873
13749b85b17b67
14338d554dddd5
1517d604706b06
hexc01b6bf9817

13201500510231 has 32 divisors (see below), whose sum is σ = 20332019443968. Its totient is φ = 7530157770240.

The previous prime is 13201500510229. The next prime is 13201500510257.

13201500510231 is nontrivially palindromic in base 10.

13201500510231 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 13201500510231 - 21 = 13201500510229 is a prime.

It is a super-2 number, since 2×132015005102312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201500510221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52916421 + ... + 53165313.

It is an arithmetic number, because the mean of its divisors is an integer number (635375607624).

Almost surely, 213201500510231 is an apocalyptic number.

13201500510231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13201500510231 is a deficient number, since it is larger than the sum of its proper divisors (7130518933737).

13201500510231 is a wasteful number, since it uses less digits than its factorization.

13201500510231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343471.

The product of its (nonzero) digits is 900, while the sum is 24.

It can be divided in two parts, 13201500 and 510231, that added together give a palindrome (13711731).

The spelling of 13201500510231 in words is "thirteen trillion, two hundred one billion, five hundred million, five hundred ten thousand, two hundred thirty-one".

Divisors: 1 3 11 17 33 51 187 561 94547 248893 283641 746679 1040017 1607299 2737823 3120051 4231181 4821897 8213469 12693543 17680289 46542991 53040867 139628973 23532086471 70596259413 258852951181 400045470007 776558853543 1200136410021 4400500170077 13201500510231