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3113894332129 = 7279231912
BaseRepresentation
bin101101010100000010100…
…100001100011011100001
3102000200111122112211012111
4231110002210030123201
5402004223422112004
610342300414155321
7440654130051400
oct55240244143341
912020448484174
103113894332129
11aa0660198199
124235b0ab2b41
1319783caa1c39
14aa9db3a5637
1555eed68ca04
hex2d50290c6e1

3113894332129 has 27 divisors (see below), whose sum is σ = 3669867424881. Its totient is φ = 2634440969160.

The previous prime is 3113894332117. The next prime is 3113894332169. The reversal of 3113894332129 is 9212334983113.

The square root of 3113894332129 is 1764623.

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

It is not a de Polignac number, because 3113894332129 - 211 = 3113894330081 is a prime.

It is a super-2 number, since 2×31138943321292 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (3113894332169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 975834924 + ... + 975838114.

Almost surely, 23113894332129 is an apocalyptic number.

3113894332129 is the 1764623-rd square number.

3113894332129 is the 882312-nd centered octagonal number.

It is an amenable number.

3113894332129 is a deficient number, since it is larger than the sum of its proper divisors (555973092752).

3113894332129 is an frugal number, since it uses more digits than its factorization.

3113894332129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554 (or 3277 counting only the distinct ones).

The product of its digits is 839808, while the sum is 49.

Multiplying 3113894332129 by its sum of digits (49), we get a square (152580822274321 = 123523612).

3113894332129 divided by its sum of digits (49) gives a square (63548863921 = 2520892).

The spelling of 3113894332129 in words is "three trillion, one hundred thirteen billion, eight hundred ninety-four million, three hundred thirty-two thousand, one hundred twenty-nine".

Divisors: 1 7 49 79 553 3191 3871 6241 22337 43687 156359 252089 305809 1764623 10182481 12352361 19915031 71277367 139405217 498941569 804415999 975836519 5630911993 39416383951 63548863921 444842047447 3113894332129