Search a number
-
+
13199022769 = 13128772
BaseRepresentation
bin11000100101011100…
…10001101010110001
31021001212021211101011
430102232101222301
5204012422212034
610021420510521
7645040561642
oct142256215261
937055254334
1013199022769
115663560189
1226843ab441
1313246a625a
148d2d756c9
15523b66864
hex312b91ab1

13199022769 has 9 divisors (see below), whose sum is σ = 13315731051. Its totient is φ = 13083331560.

The previous prime is 13199022761. The next prime is 13199022773. The reversal of 13199022769 is 96722099131.

The square root of 13199022769 is 114887.

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., 11120757025 + 2078265744 = 105455^2 + 45588^2 .

It is not a de Polignac number, because 13199022769 - 23 = 13199022761 is a prime.

It is a super-2 number, since 2×131990227692 (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 (13199022761) 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, 15049759 + ... + 15050635.

Almost surely, 213199022769 is an apocalyptic number.

13199022769 is the 114887-th square number.

13199022769 is the 57444-th centered octagonal number.

It is an amenable number.

13199022769 is a deficient number, since it is larger than the sum of its proper divisors (116708282).

13199022769 is an frugal number, since it uses more digits than its factorization.

13199022769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 49.

Multiplying 13199022769 by its sum of digits (49), we get a square (646752115681 = 8042092).

The spelling of 13199022769 in words is "thirteen billion, one hundred ninety-nine million, twenty-two thousand, seven hundred sixty-nine".

Divisors: 1 131 877 17161 114887 769129 15050197 100755899 13199022769