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13223122132231 = 116165929903779
BaseRepresentation
bin1100000001101011111101…
…1111110101110100000111
31201211010012010011020021201
43000122333133311310013
53213121423231212411
644042341330123331
72533224202416544
oct300327737656407
951733163136251
1013223122132231
114238992799090
121596890a20547
1374bc2045902b
1433a006d07bcb
1517de6c9e33c1
hexc06bf7f5d07

13223122132231 has 16 divisors (see below), whose sum is σ = 14683952131200. Its totient is φ = 11806011554400.

The previous prime is 13223122132229. The next prime is 13223122132291.

13223122132231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13223122132231 - 21 = 13223122132229 is a prime.

It is a super-2 number, since 2×132231221322312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13223122132231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223122132291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14509701 + ... + 15394078.

It is an arithmetic number, because the mean of its divisors is an integer number (917747008200).

Almost surely, 213223122132231 is an apocalyptic number.

13223122132231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13223122132231 is a deficient number, since it is larger than the sum of its proper divisors (1460829998969).

13223122132231 is a wasteful number, since it uses less digits than its factorization.

13223122132231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29904510.

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 1322312 and 2132231, that added together give a palindrome (3454543).

The spelling of 13223122132231 in words is "thirteen trillion, two hundred twenty-three billion, one hundred twenty-two million, one hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 11 61 659 671 7249 40199 442189 29903779 328941569 1824130519 19706590361 20065435709 216772493971 1202102012021 13223122132231