Search a number
-
+
213300131293 is a prime number
BaseRepresentation
bin1100011010100110101…
…1011011010111011101
3202101120020211100200201
43012221223123113131
511443314313200133
6241553322023501
721260530125664
oct3065153332735
9671506740621
10213300131293
11825073aa747
1235409947b91
1317163936652
14a476655ddb
155835e0dd7d
hex31a9adb5dd

213300131293 has 2 divisors, whose sum is σ = 213300131294. Its totient is φ = 213300131292.

The previous prime is 213300131249. The next prime is 213300131323. The reversal of 213300131293 is 392131003312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109668932569 + 103631198724 = 331163^2 + 321918^2 .

It is a cyclic number.

It is not a de Polignac number, because 213300131293 - 29 = 213300130781 is a prime.

It is a super-2 number, since 2×2133001312932 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213300131893) 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, 106650065646 + 106650065647.

It is an arithmetic number, because the mean of its divisors is an integer number (106650065647).

Almost surely, 2213300131293 is an apocalyptic number.

It is an amenable number.

213300131293 is a deficient number, since it is larger than the sum of its proper divisors (1).

213300131293 is an equidigital number, since it uses as much as digits as its factorization.

213300131293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 213300131293 in words is "two hundred thirteen billion, three hundred million, one hundred thirty-one thousand, two hundred ninety-three".