Search a number
-
+
102154993 is a prime number
BaseRepresentation
bin1100001011011…
…00001011110001
321010020000022021
412011230023301
5202122424433
614045311441
72350205653
oct605541361
9233200267
10102154993
1152733616
122a265581
1318219655
14d7d26d3
158e7d22d
hex616c2f1

102154993 has 2 divisors, whose sum is σ = 102154994. Its totient is φ = 102154992.

The previous prime is 102154991. The next prime is 102155047. The reversal of 102154993 is 399451201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56295009 + 45859984 = 7503^2 + 6772^2 .

It is a cyclic number.

It is not a de Polignac number, because 102154993 - 21 = 102154991 is a prime.

Together with 102154991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102154991) 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, 51077496 + 51077497.

It is an arithmetic number, because the mean of its divisors is an integer number (51077497).

Almost surely, 2102154993 is an apocalyptic number.

It is an amenable number.

102154993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102154993 is an equidigital number, since it uses as much as digits as its factorization.

102154993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 102154993 is about 10107.1753225122. The cubic root of 102154993 is about 467.4694126232.

The spelling of 102154993 in words is "one hundred two million, one hundred fifty-four thousand, nine hundred ninety-three".