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13222313013 = 3713103470227
BaseRepresentation
bin11000101000001110…
…00111110000110101
31021010111010002120210
430110013013300311
5204034403004023
610024012020033
7645442543350
oct142407076065
937114102523
1013222313013
115675718518
122690161619
13132946c170
148d60b9297
15525c17593
hex3141c7c35

13222313013 has 32 divisors (see below), whose sum is σ = 21908862976. Its totient is φ = 6906679488.

The previous prime is 13222312991. The next prime is 13222313017. The reversal of 13222313013 is 31031322231.

It is not a de Polignac number, because 13222313013 - 28 = 13222312757 is a prime.

It is a super-2 number, since 2×132223130132 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222313017) 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, 206995 + ... + 263232.

It is an arithmetic number, because the mean of its divisors is an integer number (684651968).

Almost surely, 213222313013 is an apocalyptic number.

13222313013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13222313013 is a deficient number, since it is larger than the sum of its proper divisors (8686549963).

13222313013 is a wasteful number, since it uses less digits than its factorization.

13222313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470353.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13222313013 its reverse (31031322231), we get a palindrome (44253635244).

The spelling of 13222313013 in words is "thirteen billion, two hundred twenty-two million, three hundred thirteen thousand, thirteen".

Divisors: 1 3 7 13 21 39 91 103 273 309 721 1339 2163 4017 9373 28119 470227 1410681 3291589 6112951 9874767 18338853 42790657 48433381 128371971 145300143 339033667 629633953 1017101001 1888901859 4407437671 13222313013