Search a number
-
+
102244013 is a prime number
BaseRepresentation
bin1100001100000…
…01111010101101
321010101112102022
412012001322231
5202133302023
614051235525
72351026334
oct606017255
9233345368
10102244013
1152794493
122a2a8ba5
131824b021
14d816d1b
158e997c8
hex6181ead

102244013 has 2 divisors, whose sum is σ = 102244014. Its totient is φ = 102244012.

The previous prime is 102244007. The next prime is 102244031. The reversal of 102244013 is 310442201.

Together with next prime (102244031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89832484 + 12411529 = 9478^2 + 3523^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102244013 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102243982 and 102244000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102244003) 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, 51122006 + 51122007.

It is an arithmetic number, because the mean of its divisors is an integer number (51122007).

Almost surely, 2102244013 is an apocalyptic number.

It is an amenable number.

102244013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102244013 is an equidigital number, since it uses as much as digits as its factorization.

102244013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 102244013 is about 10111.5781656475. The cubic root of 102244013 is about 467.6051607445.

Adding to 102244013 its reverse (310442201), we get a palindrome (412686214).

The spelling of 102244013 in words is "one hundred two million, two hundred forty-four thousand, thirteen".