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122100133 is a prime number
BaseRepresentation
bin1110100011100…
…01100110100101
322111202022220011
413101301212211
5222224201013
620041010221
73011556031
oct721614645
9274668804
10122100133
1162a16701
1234a83971
131c3b0acc
14123051c1
15aabcc3d
hex74719a5

122100133 has 2 divisors, whose sum is σ = 122100134. Its totient is φ = 122100132.

The previous prime is 122100131. The next prime is 122100149. The reversal of 122100133 is 331001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111872929 + 10227204 = 10577^2 + 3198^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100133 - 21 = 122100131 is a prime.

Together with 122100131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122100131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050066 + 61050067.

It is an arithmetic number, because the mean of its divisors is an integer number (61050067).

Almost surely, 2122100133 is an apocalyptic number.

It is an amenable number.

122100133 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100133 is an equidigital number, since it uses as much as digits as its factorization.

122100133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 122100133 is about 11049.8928954085. The cubic root of 122100133 is about 496.1032197706.

Adding to 122100133 its reverse (331001221), we get a palindrome (453101354).

The spelling of 122100133 in words is "one hundred twenty-two million, one hundred thousand, one hundred thirty-three".