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13221212231 = 412717971493
BaseRepresentation
bin11000101000000101…
…11011000001000111
31021010102001011121002
430110002323001013
5204034112242411
610023532243515
7645430310153
oct142402730107
937112034532
1013221212231
115675036487
12268b91059b
131329175106
148d5cb0063
15525a9b33b
hex3140bb047

13221212231 has 16 divisors (see below), whose sum is σ = 13619829888. Its totient is φ = 12826425600.

The previous prime is 13221212219. The next prime is 13221212261.

13221212231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13221212231 - 210 = 13221211207 is a prime.

It is a super-3 number, since 3×132212122313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221212261) 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, 8854721 + ... + 8856213.

It is an arithmetic number, because the mean of its divisors is an integer number (851239368).

Almost surely, 213221212231 is an apocalyptic number.

13221212231 is a deficient number, since it is larger than the sum of its proper divisors (398617657).

13221212231 is a wasteful number, since it uses less digits than its factorization.

13221212231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602.

The product of its digits is 288, while the sum is 20.

The spelling of 13221212231 in words is "thirteen billion, two hundred twenty-one million, two hundred twelve thousand, two hundred thirty-one".

Divisors: 1 41 271 797 1493 11111 32677 61213 215987 404603 1189921 8855467 16588723 48786761 322468591 13221212231