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13222022231 = 11326936929
BaseRepresentation
bin11000101000001100…
…00000110001010111
31021010110120022201002
430110012000301113
5204034314202411
610024001453515
7645440222525
oct142406006127
937113508632
1013222022231
11567553a000
12269004129b
1313293999c2
148d6041315
15525bab33b
hex314180c57

13222022231 has 16 divisors (see below), whose sum is σ = 14597690400. Its totient is φ = 11975011840.

The previous prime is 13222022173. The next prime is 13222022249.

It is a happy number.

13222022231 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-13222022231 is a prime.

It is a super-2 number, since 2×132220222312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222022131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339575 + ... + 376503.

It is an arithmetic number, because the mean of its divisors is an integer number (912355650).

Almost surely, 213222022231 is an apocalyptic number.

13222022231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13222022231 is a deficient number, since it is larger than the sum of its proper divisors (1375668169).

13222022231 is an equidigital number, since it uses as much as digits as its factorization.

13222022231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37231 (or 37209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 132220 and 22231, that added together give a palindrome (154451).

The spelling of 13222022231 in words is "thirteen billion, two hundred twenty-two million, twenty-two thousand, two hundred thirty-one".

Divisors: 1 11 121 269 1331 2959 32549 36929 358039 406219 4468409 9933901 49152499 109272911 1202002021 13222022231