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3113233313129 is a prime number
BaseRepresentation
bin101101010011011011001…
…010100110110101101001
3102000121210120201120121022
4231103123022212311221
5402001400212010004
610342111042222225
7440631552352322
oct55233312466551
912017716646538
103113233313129
11aa03510528a5
12423447654975
13197765b60634
14aa977697449
1555eb061a2be
hex2d4db2a6d69

3113233313129 has 2 divisors, whose sum is σ = 3113233313130. Its totient is φ = 3113233313128.

The previous prime is 3113233313111. The next prime is 3113233313131. The reversal of 3113233313129 is 9213133323113.

3113233313129 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2329432957504 + 783800355625 = 1526248^2 + 885325^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3113233313129 is a prime.

Together with 3113233313131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3113233313149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1556616656564 + 1556616656565.

It is an arithmetic number, because the mean of its divisors is an integer number (1556616656565).

Almost surely, 23113233313129 is an apocalyptic number.

It is an amenable number.

3113233313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

3113233313129 is an equidigital number, since it uses as much as digits as its factorization.

3113233313129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26244, while the sum is 35.

The spelling of 3113233313129 in words is "three trillion, one hundred thirteen billion, two hundred thirty-three million, three hundred thirteen thousand, one hundred twenty-nine".