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102564244351 is a prime number
BaseRepresentation
bin101111110000101001…
…1100010101101111111
3100210201212201110012201
41133201103202231333
53140022421304401
6115041203412331
710260431456362
oct1374123425577
9323655643181
10102564244351
113a551929908
1217a646840a7
139896b439aa
144d6d8360d9
152a04405b01
hex17e14e2b7f

102564244351 has 2 divisors, whose sum is σ = 102564244352. Its totient is φ = 102564244350.

The previous prime is 102564244309. The next prime is 102564244373. The reversal of 102564244351 is 153442465201.

It is a strong prime.

It is an emirp because it is prime and its reverse (153442465201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102564244351 - 227 = 102430026623 is a prime.

It is a super-2 number, since 2×1025642443512 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102564244351.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102564244151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51282122175 + 51282122176.

It is an arithmetic number, because the mean of its divisors is an integer number (51282122176).

Almost surely, 2102564244351 is an apocalyptic number.

102564244351 is a deficient number, since it is larger than the sum of its proper divisors (1).

102564244351 is an equidigital number, since it uses as much as digits as its factorization.

102564244351 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 102564244351 in words is "one hundred two billion, five hundred sixty-four million, two hundred forty-four thousand, three hundred fifty-one".