Search a number
-
+
120373133 is a prime number
BaseRepresentation
bin1110010110010…
…11111110001101
322101111120220012
413023023332031
5221303420013
615540003005
72661104036
oct713137615
9271446805
10120373133
1161a47131
1234390465
131bc27a0a
1411db5a8d
15a87b1a8
hex72cbf8d

120373133 has 2 divisors, whose sum is σ = 120373134. Its totient is φ = 120373132.

The previous prime is 120373117. The next prime is 120373147. The reversal of 120373133 is 331373021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116920969 + 3452164 = 10813^2 + 1858^2 .

It is a cyclic number.

It is not a de Polignac number, because 120373133 - 24 = 120373117 is a prime.

It is a super-2 number, since 2×1203731332 = 28979382296471378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120373099 and 120373108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120373153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60186566 + 60186567.

It is an arithmetic number, because the mean of its divisors is an integer number (60186567).

Almost surely, 2120373133 is an apocalyptic number.

It is an amenable number.

120373133 is a deficient number, since it is larger than the sum of its proper divisors (1).

120373133 is an equidigital number, since it uses as much as digits as its factorization.

120373133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 120373133 is about 10971.4690447542. The cubic root of 120373133 is about 493.7531220654.

The spelling of 120373133 in words is "one hundred twenty million, three hundred seventy-three thousand, one hundred thirty-three".