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13222546331 = 174740141269
BaseRepresentation
bin11000101000010000…
…00000101110011011
31021010111112221122012
430110020000232123
5204034432440311
610024021020135
7645444534521
oct142410005633
937114487565
1013222546331
115675867845
12269025464b
131329521417
148d613a311
15525c6178b
hex314200b9b

13222546331 has 16 divisors (see below), whose sum is σ = 14334226560. Its totient is φ = 12149299200.

The previous prime is 13222546319. The next prime is 13222546349. The reversal of 13222546331 is 13364522231.

It is a cyclic number.

It is not a de Polignac number, because 13222546331 - 210 = 13222545307 is a prime.

It is a super-2 number, since 2×132225463312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13222546361) 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, 299765 + ... + 341033.

It is an arithmetic number, because the mean of its divisors is an integer number (895889160).

Almost surely, 213222546331 is an apocalyptic number.

13222546331 is a deficient number, since it is larger than the sum of its proper divisors (1111680229).

13222546331 is a wasteful number, since it uses less digits than its factorization.

13222546331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41734.

The product of its digits is 25920, while the sum is 32.

The spelling of 13222546331 in words is "thirteen billion, two hundred twenty-two million, five hundred forty-six thousand, three hundred thirty-one".

Divisors: 1 17 47 401 799 6817 18847 41269 320399 701573 1939643 16548869 32973931 281330773 777796843 13222546331