Search a number
-
+
3122133231123 = 324143196768969
BaseRepresentation
bin101101011011101101101…
…001000110011000010011
3102001110202211111020220200
4231123231221012120103
5402123112101343443
610350142130310243
7441365241410154
oct55335551063023
912043684436820
103122133231123
11aa40a88a6a25
12425110128383
1319855396b9ba
14ab17d69992b
1556331b27dd3
hex2d6eda46613

3122133231123 has 24 divisors (see below), whose sum is σ = 4727177735280. Its totient is φ = 1983431197440.

The previous prime is 3122133231101. The next prime is 3122133231143. The reversal of 3122133231123 is 3211323312213.

3122133231123 is a `hidden beast` number, since 3 + 1 + 2 + 213 + 323 + 1 + 123 = 666.

It is not a de Polignac number, because 3122133231123 - 212 = 3122133227027 is a prime.

It is a super-3 number, since 3×31221332311233 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3122133231143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98368618 + ... + 98400351.

It is an arithmetic number, because the mean of its divisors is an integer number (196965738970).

Almost surely, 23122133231123 is an apocalyptic number.

3122133231123 is a deficient number, since it is larger than the sum of its proper divisors (1605044504157).

3122133231123 is a wasteful number, since it uses less digits than its factorization.

3122133231123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196769059 (or 196769056 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 3122133231123 its reverse (3211323312213), we get a palindrome (6333456543336).

The spelling of 3122133231123 in words is "three trillion, one hundred twenty-two billion, one hundred thirty-three million, two hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 9 41 43 123 129 369 387 1763 5289 15867 196768969 590306907 1770920721 8067527729 8461065667 24202583187 25383197001 72607749561 76149591003 346903692347 1040711077041 3122133231123