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13342791121 = 112105012
BaseRepresentation
bin11000110110100101…
…01101010111010001
31021102212211000110221
430123102231113101
5204311223303441
610043554153041
7651434565442
oct143322552721
937385730427
1013342791121
115727726500
122704582781
13134840289a
149080bb2c9
155315b48d1
hex31b4ad5d1

13342791121 has 9 divisors (see below), whose sum is σ = 14667439899. Its totient is φ = 12128655000.

The previous prime is 13342791107. The next prime is 13342791157. The reversal of 13342791121 is 12119724331.

It is a happy number.

The square root of 13342791121 is 115511.

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., 3929910721 + 9412880400 = 62689^2 + 97020^2 .

It is a de Polignac number, because none of the positive numbers 2k-13342791121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13342791101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1265371 + ... + 1275871.

Almost surely, 213342791121 is an apocalyptic number.

13342791121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13342791121 is the 115511-st square number.

13342791121 is the 57756-th centered octagonal number.

It is an amenable number.

13342791121 is a deficient number, since it is larger than the sum of its proper divisors (1324648778).

13342791121 is an frugal number, since it uses more digits than its factorization.

13342791121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21024 (or 10512 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The spelling of 13342791121 in words is "thirteen billion, three hundred forty-two million, seven hundred ninety-one thousand, one hundred twenty-one".

Divisors: 1 11 121 10501 115511 1270621 110271001 1212981011 13342791121