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12311355311321 = 111119214119211
BaseRepresentation
bin1011001100100111010111…
…1101011100010011011001
31121120221202112000201021112
42303021311331130103121
53103202123424430241
642103431502550105
72410315601335643
oct263116575342331
947527675021245
1012311355311321
113a17242131610
12146a033b98335
136b3c56c3b701
14307c30c81893
151653a74561eb
hexb3275f5c4d9

12311355311321 has 4 divisors (see below), whose sum is σ = 13430569430544. Its totient is φ = 11192141192100.

The previous prime is 12311355311243. The next prime is 12311355311357.

It is a happy number.

12311355311321 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 12311355311321 - 242 = 7913308800217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12311355311221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 559607059595 + ... + 559607059616.

It is an arithmetic number, because the mean of its divisors is an integer number (3357642357636).

Almost surely, 212311355311321 is an apocalyptic number.

12311355311321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12311355311321 is a deficient number, since it is larger than the sum of its proper divisors (1119214119223).

12311355311321 is a wasteful number, since it uses less digits than its factorization.

12311355311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119214119222.

The product of its digits is 8100, while the sum is 32.

It can be divided in two parts, 1231135 and 5311321, that added together give a palindrome (6542456).

The spelling of 12311355311321 in words is "twelve trillion, three hundred eleven billion, three hundred fifty-five million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 11 1119214119211 12311355311321