Search a number
-
+
102212021998973 is a prime number
BaseRepresentation
bin10111001111011000010111…
…010000110101010101111101
3111101220101002112221220000102
4113033120113100311111331
5101344120210112431343
61001215315451010445
730346401121664105
oct2717302720652575
9441811075856012
10102212021998973
112a6279698359a7
12b56945b439a25
134505724594233
141b3513428a205
15bc3b8138a3b8
hex5cf61743557d

102212021998973 has 2 divisors, whose sum is σ = 102212021998974. Its totient is φ = 102212021998972.

The previous prime is 102212021998927. The next prime is 102212021998979. The reversal of 102212021998973 is 379899120212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59740563556804 + 42471458442169 = 7729202^2 + 6517013^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212021998973 - 28 = 102212021998717 is a prime.

It is a super-2 number, since 2×1022120219989732 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102212021998979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106010999486 + 51106010999487.

It is an arithmetic number, because the mean of its divisors is an integer number (51106010999487).

Almost surely, 2102212021998973 is an apocalyptic number.

It is an amenable number.

102212021998973 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212021998973 is an equidigital number, since it uses as much as digits as its factorization.

102212021998973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1959552, while the sum is 56.

The spelling of 102212021998973 in words is "one hundred two trillion, two hundred twelve billion, twenty-one million, nine hundred ninety-eight thousand, nine hundred seventy-three".