Search a number
-
+
102412800449 is a prime number
BaseRepresentation
bin101111101100001000…
…1110101000111000001
3100210100022202022020022
41133120101311013001
53134220134103244
6115014153423225
710253612304101
oct1373021650701
9323308668208
10102412800449
113a4843a0863
1217a21a0ab15
13987165a80b
144d57693201
1529e5e8d6ee
hex17d84751c1

102412800449 has 2 divisors, whose sum is σ = 102412800450. Its totient is φ = 102412800448.

The previous prime is 102412800389. The next prime is 102412800463. The reversal of 102412800449 is 944008214201.

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., 102412800400 + 49 = 320020^2 + 7^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102412800449 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (102412800349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51206400224 + 51206400225.

It is an arithmetic number, because the mean of its divisors is an integer number (51206400225).

Almost surely, 2102412800449 is an apocalyptic number.

It is an amenable number.

102412800449 is a deficient number, since it is larger than the sum of its proper divisors (1).

102412800449 is an equidigital number, since it uses as much as digits as its factorization.

102412800449 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 35.

It can be divided in two parts, 1024128004 and 49, that multiplied together give a square (50182272196 = 2240142).

The spelling of 102412800449 in words is "one hundred two billion, four hundred twelve million, eight hundred thousand, four hundred forty-nine".