Search a number
-
+
338100102323149 is a prime number
BaseRepresentation
bin100110011100000000001000…
…0011111110101101111001101
31122100010001110110012122102111
41030320000100133311233031
5323303413002143320044
63155025013123424021
7131133632501663335
oct11470002037655715
91570101413178374
10338100102323149
11988024a25677a1
1231b06094225011
131168691a1c299a
145d6c1bcd1a0c5
152914b5d79ab34
hex13380107f5bcd

338100102323149 has 2 divisors, whose sum is σ = 338100102323150. Its totient is φ = 338100102323148.

The previous prime is 338100102323129. The next prime is 338100102323209. The reversal of 338100102323149 is 941323201001833.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 298800368220649 + 39299734102500 = 17285843^2 + 6268950^2 .

It is a cyclic number.

It is not a de Polignac number, because 338100102323149 - 25 = 338100102323117 is a prime.

It is a super-2 number, since 2×3381001023231492 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (338100102323129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169050051161574 + 169050051161575.

It is an arithmetic number, because the mean of its divisors is an integer number (169050051161575).

Almost surely, 2338100102323149 is an apocalyptic number.

It is an amenable number.

338100102323149 is a deficient number, since it is larger than the sum of its proper divisors (1).

338100102323149 is an equidigital number, since it uses as much as digits as its factorization.

338100102323149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 338100102323149 in words is "three hundred thirty-eight trillion, one hundred billion, one hundred two million, three hundred twenty-three thousand, one hundred forty-nine".