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13222322322231 = 3113719156696821
BaseRepresentation
bin1100000001101000111111…
…0100110011101100110111
31201211001010101011200020010
43000122033310303230313
53213113304003302411
644042130115311303
72533165321224141
oct300321764635467
951731111150203
1013222322322231
114238612277a90
1215966a8bab533
1374bb23841789
14339d6c9cbc91
1517de226a77a6
hexc068fd33b37

13222322322231 has 32 divisors (see below), whose sum is σ = 19855680638976. Its totient is φ = 7756124976000.

The previous prime is 13222322322217. The next prime is 13222322322329.

It is a happy number.

13222322322231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13222322322231 - 27 = 13222322322103 is a prime.

It is a super-2 number, since 2×132223223222312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222322324231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28115200 + ... + 28581621.

It is an arithmetic number, because the mean of its divisors is an integer number (620490019968).

Almost surely, 213222322322231 is an apocalyptic number.

13222322322231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13222322322231 is a deficient number, since it is larger than the sum of its proper divisors (6633358316745).

13222322322231 is a wasteful number, since it uses less digits than its factorization.

13222322322231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56697063.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 1322232 and 2322231, that added together give a palindrome (3644463).

The spelling of 13222322322231 in words is "thirteen trillion, two hundred twenty-two billion, three hundred twenty-two million, three hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 11 33 37 111 191 407 573 1221 2101 6303 7067 21201 77737 233211 56696821 170090463 623665031 1870995093 2097782377 6293347131 10829092811 23075606147 32487278433 69226818441 119120020921 357360062763 400676434007 1202029302021 4407440774077 13222322322231