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13231210729 = 112104572
BaseRepresentation
bin11000101001010010…
…00100000011101001
31021011002212010221211
430110221010003221
5204044142220404
610024530433121
7645611302252
oct142451040351
937132763854
1013231210729
11567a745500
1226931327a1
13132b266099
148d7353b29
155268c3b04
hex314a440e9

13231210729 has 9 divisors (see below), whose sum is σ = 14544787831. Its totient is φ = 12027223120.

The previous prime is 13231210711. The next prime is 13231210739. The reversal of 13231210729 is 92701213231.

The square root of 13231210729 is 115027.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11967266025 + 1263944704 = 109395^2 + 35552^2 .

It is not a de Polignac number, because 13231210729 - 217 = 13231079657 is a prime.

It is a super-2 number, since 2×132312107292 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13231210729.

It is not an unprimeable number, because it can be changed into a prime (13231210739) 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 8 ways as a sum of consecutive naturals, for example, 1260069 + ... + 1270525.

Almost surely, 213231210729 is an apocalyptic number.

13231210729 is the 115027-th square number.

13231210729 is the 57514-th centered octagonal number.

It is an amenable number.

13231210729 is a deficient number, since it is larger than the sum of its proper divisors (1313577102).

13231210729 is an frugal number, since it uses more digits than its factorization.

13231210729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20936 (or 10468 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 13231210729 in words is "thirteen billion, two hundred thirty-one million, two hundred ten thousand, seven hundred twenty-nine".

Divisors: 1 11 121 10457 115027 1265297 109348849 1202837339 13231210729