Search a number
-
+
123522013 is a prime number
BaseRepresentation
bin1110101110011…
…00101111011101
322121102120100101
413113030233131
5223110201023
620131301101
73026630326
oct727145735
9277376311
10123522013
11637a7a0a
123544a791
131c78b064
141259544d
15ac9e1ad
hex75ccbdd

123522013 has 2 divisors, whose sum is σ = 123522014. Its totient is φ = 123522012.

The previous prime is 123522001. The next prime is 123522019. The reversal of 123522013 is 310225321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123165604 + 356409 = 11098^2 + 597^2 .

It is a cyclic number.

It is not a de Polignac number, because 123522013 - 29 = 123521501 is a prime.

It is equal to p7030702 and since 123522013 and 7030702 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123522019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61761006 + 61761007.

It is an arithmetic number, because the mean of its divisors is an integer number (61761007).

Almost surely, 2123522013 is an apocalyptic number.

It is an amenable number.

123522013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123522013 is an equidigital number, since it uses as much as digits as its factorization.

123522013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 123522013 is about 11114.0457530100. The cubic root of 123522013 is about 498.0215323238.

Adding to 123522013 its reverse (310225321), we get a palindrome (433747334).

It can be divided in two parts, 12352 and 2013, that added together give a triangular number (14365 = T169).

The spelling of 123522013 in words is "one hundred twenty-three million, five hundred twenty-two thousand, thirteen".