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122133133 is a prime number
BaseRepresentation
bin1110100011110…
…01101010001101
322111211000011101
413101321222031
5222231230013
620041423101
73012054163
oct721715215
9274730141
10122133133
1162a39481
1234a9aa91
131c3c2b35
1412313233
15aac78dd
hex7479a8d

122133133 has 2 divisors, whose sum is σ = 122133134. Its totient is φ = 122133132.

The previous prime is 122133113. The next prime is 122133203. The reversal of 122133133 is 331331221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61261929 + 60871204 = 7827^2 + 7802^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122133133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122133133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122133113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61066566 + 61066567.

It is an arithmetic number, because the mean of its divisors is an integer number (61066567).

Almost surely, 2122133133 is an apocalyptic number.

It is an amenable number.

122133133 is a deficient number, since it is larger than the sum of its proper divisors (1).

122133133 is an equidigital number, since it uses as much as digits as its factorization.

122133133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 19.

The square root of 122133133 is about 11051.3860216717. The cubic root of 122133133 is about 496.1479096798.

Adding to 122133133 its reverse (331331221), we get a palindrome (453464354).

It can be divided in two parts, 12 and 2133133, that added together give a triangular number (2133145 = T2065).

The spelling of 122133133 in words is "one hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty-three".