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13222222222231 = 111963264221159
BaseRepresentation
bin1100000001101000100111…
…0110111101001110010111
31201211000212101211001211201
43000122021312331032113
53213113102342102411
644042112142013331
72533162664334331
oct300321166751627
951730771731751
1013222222222231
114238570818410
12159667b577247
1374bb08b945c9
14339d5d5b2451
1517de189d33c1
hexc0689dbd397

13222222222231 has 8 divisors (see below), whose sum is σ = 15183413078400. Its totient is φ = 11387559808440.

The previous prime is 13222222222229. The next prime is 13222222222241.

13222222222231 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13222222222231 - 21 = 13222222222229 is a prime.

It is a super-2 number, since 2×132222222222312 (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 13222222222231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222222222241) 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 7 ways as a sum of consecutive naturals, for example, 31632110371 + ... + 31632110788.

It is an arithmetic number, because the mean of its divisors is an integer number (1897926634800).

Almost surely, 213222222222231 is an apocalyptic number.

13222222222231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13222222222231 is a deficient number, since it is larger than the sum of its proper divisors (1961190856169).

13222222222231 is a wasteful number, since it uses less digits than its factorization.

13222222222231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63264221189.

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 1322222 and 2222231, that added together give a palindrome (3544453).

The spelling of 13222222222231 in words is "thirteen trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 11 19 209 63264221159 695906432749 1202020202021 13222222222231