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13222211222231 = 112234746559213
BaseRepresentation
bin1100000001101000100100…
…1100111111101011010111
31201211000211122010012200022
43000122021030333223113
53213113042033102411
644042111110135355
72533162502001344
oct300321114775327
951730748105608
1013222211222231
114238565594a00
12159667795155b
1374bb0681282b
14339d5bd4b7cb
1517de17a5dedb
hexc068933fad7

13222211222231 has 12 divisors (see below), whose sum is σ = 14539697584776. Its totient is φ = 12015070248720.

The previous prime is 13222211222177. The next prime is 13222211222237.

13222211222231 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-13222211222231 is a prime.

It is a super-2 number, since 2×132222112222312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13222211222231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222211222237) 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 11 ways as a sum of consecutive naturals, for example, 22995620 + ... + 23563593.

It is an arithmetic number, because the mean of its divisors is an integer number (1211641465398).

Almost surely, 213222211222231 is an apocalyptic number.

13222211222231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13222211222231 is a deficient number, since it is larger than the sum of its proper divisors (1317486362545).

13222211222231 is a wasteful number, since it uses less digits than its factorization.

13222211222231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46561582 (or 46561571 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 1322221 and 1222231, that added together give a palindrome (2544452).

The spelling of 13222211222231 in words is "thirteen trillion, two hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 11 121 2347 25817 283987 46559213 512151343 5633664773 109274472911 1202019202021 13222211222231