Search a number
-
+
12311522511321 = 3112231672988519
BaseRepresentation
bin1011001100100111111111…
…1011010000100111011001
31121120222012011122100120010
42303021333323100213121
53103202444230330241
642103500234352133
72410323001453335
oct263117773204731
947528164570503
1012311522511321
113a17318551430
12146a07bb8b649
136b3c82780417
14307c491667c5
151653b6e81d16
hexb327fed09d9

12311522511321 has 16 divisors (see below), whose sum is σ = 17987972567040. Its totient is φ = 7428069019920.

The previous prime is 12311522511317. The next prime is 12311522511359.

12311522511321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12311522511321 - 22 = 12311522511317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12311522511721) 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, 836486901 + ... + 836501618.

It is an arithmetic number, because the mean of its divisors is an integer number (1124248285440).

Almost surely, 212311522511321 is an apocalyptic number.

12311522511321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12311522511321 is a deficient number, since it is larger than the sum of its proper divisors (5676450055719).

12311522511321 is a wasteful number, since it uses less digits than its factorization.

12311522511321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672988756.

The product of its digits is 3600, while the sum is 30.

It can be divided in two parts, 1231152 and 2511321, that added together give a palindrome (3742473).

The spelling of 12311522511321 in words is "twelve trillion, three hundred eleven billion, five hundred twenty-two million, five hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 11 33 223 669 2453 7359 1672988519 5018965557 18402873709 55208621127 373076439737 1119229319211 4103840837107 12311522511321