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102413189 is a prime number
BaseRepresentation
bin1100001101010…
…11001110000101
321010201010111002
412012223032011
5202204210224
614055023045
72352332504
oct606531605
9233633432
10102413189
115289a5aa
122a36aa85
13182aa028
14d85c83b
158ece9ae
hex61ab385

102413189 has 2 divisors, whose sum is σ = 102413190. Its totient is φ = 102413188.

The previous prime is 102413177. The next prime is 102413257. The reversal of 102413189 is 981314201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86676100 + 15737089 = 9310^2 + 3967^2 .

It is a cyclic number.

It is not a de Polignac number, because 102413189 - 212 = 102409093 is a prime.

It is a super-2 number, since 2×1024131892 = 20976922562299442, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102413149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51206594 + 51206595.

It is an arithmetic number, because the mean of its divisors is an integer number (51206595).

Almost surely, 2102413189 is an apocalyptic number.

It is an amenable number.

102413189 is a deficient number, since it is larger than the sum of its proper divisors (1).

102413189 is an equidigital number, since it uses as much as digits as its factorization.

102413189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 102413189 is about 10119.9401678073. The cubic root of 102413189 is about 467.8629231215.

The spelling of 102413189 in words is "one hundred two million, four hundred thirteen thousand, one hundred eighty-nine".