Search a number
-
+
100222111000589 is a prime number
BaseRepresentation
bin10110110010011011000111…
…010100110010100000001101
3111010212010210020100102102212
4112302123013110302200031
5101114014340404004324
6553053222512200205
730052544224404644
oct2662330724624015
9433763706312385
10100222111000589
1129a2aa5a969386
12b2a7872239065
1343bcb9b2aca06
141aa6ac16ca35b
15b8c018e9b70e
hex5b26c753280d

100222111000589 has 2 divisors, whose sum is σ = 100222111000590. Its totient is φ = 100222111000588.

The previous prime is 100222111000559. The next prime is 100222111000591. The reversal of 100222111000589 is 985000111222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80071034890564 + 20151076110025 = 8948242^2 + 4488995^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222111000589 - 212 = 100222110996493 is a prime.

Together with 100222111000591, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222111000559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111055500294 + 50111055500295.

It is an arithmetic number, because the mean of its divisors is an integer number (50111055500295).

Almost surely, 2100222111000589 is an apocalyptic number.

It is an amenable number.

100222111000589 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222111000589 is an equidigital number, since it uses as much as digits as its factorization.

100222111000589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 32.

The spelling of 100222111000589 in words is "one hundred trillion, two hundred twenty-two billion, one hundred eleven million, five hundred eighty-nine", and thus it is an aban number.