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12311899681 = 1726121072
BaseRepresentation
bin10110111011101100…
…01010111000100001
31011210001000022021111
423131312022320201
5200203321242211
65353410423321
7614046264154
oct133566127041
934701008244
1012311899681
115248823504
122477291b41
13121296aa53
1484b20bc9b
154c0d30421
hex2ddd8ae21

12311899681 has 27 divisors (see below), whose sum is σ = 13422080217. Its totient is φ = 11291187840.

The previous prime is 12311899679. The next prime is 12311899693. The reversal of 12311899681 is 18699811321.

The square root of 12311899681 is 110959.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1136027025 + 11175872656 = 33705^2 + 105716^2 .

It is not a de Polignac number, because 12311899681 - 21 = 12311899679 is a prime.

It is a super-2 number, since 2×123118996812 (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 (12311899181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115064430 + ... + 115064536.

Almost surely, 212311899681 is an apocalyptic number.

12311899681 is the 110959-th square number.

12311899681 is the 55480-th centered octagonal number.

It is an amenable number.

12311899681 is a deficient number, since it is larger than the sum of its proper divisors (1110180536).

12311899681 is an frugal number, since it uses more digits than its factorization.

12311899681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its digits is 186624, while the sum is 49.

Multiplying 12311899681 by its sum of digits (49), we get a square (603283084369 = 7767132).

The spelling of 12311899681 in words is "twelve billion, three hundred eleven million, eight hundred ninety-nine thousand, six hundred eighty-one".

Divisors: 1 17 61 107 289 1037 1819 3721 6527 11449 17629 30923 63257 110959 194633 398147 698389 1075369 1886303 3308761 6768499 11872613 42601729 115064483 201834421 724229393 12311899681