Search a number
-
+
102222021220993 is a prime number
BaseRepresentation
bin10111001111100001101011…
…010000110101101010000001
3111101221022220102020222221201
4113033201223100311222001
5101344301144413032433
61001224052005021201
730350203656655642
oct2717415320655201
9441838812228851
10102222021220993
112a631130069453
12b56b3900b4801
13450665906b55b
141b358022896c9
15bc4069142a7d
hex5cf86b435a81

102222021220993 has 2 divisors, whose sum is σ = 102222021220994. Its totient is φ = 102222021220992.

The previous prime is 102222021220987. The next prime is 102222021221051. The reversal of 102222021220993 is 399022120222201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75493038500929 + 26728982720064 = 8688673^2 + 5170008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102222021220993 is a prime.

It is not a weakly prime, because it can be changed into another prime (102202021220993) 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, 51111010610496 + 51111010610497.

It is an arithmetic number, because the mean of its divisors is an integer number (51111010610497).

Almost surely, 2102222021220993 is an apocalyptic number.

It is an amenable number.

102222021220993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222021220993 is an equidigital number, since it uses as much as digits as its factorization.

102222021220993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 102222021220993 in words is "one hundred two trillion, two hundred twenty-two billion, twenty-one million, two hundred twenty thousand, nine hundred ninety-three".