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12311111111321 = 1110187712635243
BaseRepresentation
bin1011001100100110011101…
…1001111001001010011001
31121120221010111112001212002
42303021213121321022121
53103201123421030241
642103351340530345
72410306544561411
oct263114731711231
947527114461762
1012311111111321
113a171272aa530
121469b862509b5
136b3c18479c79
14307c0a675641
15165390cba89b
hexb3267679299

12311111111321 has 16 divisors (see below), whose sum is σ = 13578742939968. Its totient is φ = 11068471992000.

The previous prime is 12311111111309. The next prime is 12311111111357.

12311111111321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12311111111321 - 210 = 12311111110297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12311111111293 and 12311111111302.

It is not an unprimeable number, because it can be changed into a prime (12311111111821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5343275 + ... + 7291968.

It is an arithmetic number, because the mean of its divisors is an integer number (848671433748).

Almost surely, 212311111111321 is an apocalyptic number.

12311111111321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12311111111321 is a deficient number, since it is larger than the sum of its proper divisors (1267631828647).

12311111111321 is a wasteful number, since it uses less digits than its factorization.

12311111111321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12636232.

The product of its digits is 36, while the sum is 20.

It can be divided in two parts, 1231111 and 1111321, that added together give a palindrome (2342432).

The spelling of 12311111111321 in words is "twelve trillion, three hundred eleven billion, one hundred eleven million, one hundred eleven thousand, three hundred twenty-one".

Divisors: 1 11 101 877 1111 9647 88577 974347 12635243 138987673 1276159543 11081108111 14037754973 121892189221 1119191919211 12311111111321