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13662120321 = 322935180933
BaseRepresentation
bin11001011100101001…
…10110100110000001
31022021010200121210100
430232110312212001
5210440000322241
610135402353013
7662363051403
oct145624664601
938233617710
1013662120321
115880a02233
1227934bb769
13139960a685
14938682b73
1554e6409b6
hex32e536981

13662120321 has 12 divisors (see below), whose sum is σ = 19801529748. Its totient is φ = 9076992864.

The previous prime is 13662120293. The next prime is 13662120337. The reversal of 13662120321 is 12302126631.

13662120321 is a `hidden beast` number, since 1 + 3 + 6 + 621 + 2 + 0 + 32 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12867726096 + 794394225 = 113436^2 + 28185^2 .

It is not a de Polignac number, because 13662120321 - 25 = 13662120289 is a prime.

It is a super-2 number, since 2×136621203212 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13662120341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2587830 + ... + 2593103.

It is an arithmetic number, because the mean of its divisors is an integer number (1650127479).

Almost surely, 213662120321 is an apocalyptic number.

It is an amenable number.

13662120321 is a deficient number, since it is larger than the sum of its proper divisors (6139409427).

13662120321 is a wasteful number, since it uses less digits than its factorization.

13662120321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181232 (or 5181229 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13662120321 its reverse (12302126631), we get a palindrome (25964246952).

The spelling of 13662120321 in words is "thirteen billion, six hundred sixty-two million, one hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 293 879 2637 5180933 15542799 46628397 1518013369 4554040107 13662120321