Search a number
-
+
202210200102149 is a prime number
BaseRepresentation
bin101101111110100010111011…
…001001011010010100000101
3222111222002212112001110200222
4231332202323021122110011
5203001002442211232044
61554022030012114125
760410130156232661
oct5576427311322405
9874862775043628
10202210200102149
1159480956392018
121a819836a65945
1388aa456121505
1437d10511258a1
151859e40c288ee
hexb7e8bb25a505

202210200102149 has 2 divisors, whose sum is σ = 202210200102150. Its totient is φ = 202210200102148.

The previous prime is 202210200102073. The next prime is 202210200102221. The reversal of 202210200102149 is 941201002012202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153924170197924 + 48286029904225 = 12406618^2 + 6948815^2 .

It is a cyclic number.

It is not a de Polignac number, because 202210200102149 - 232 = 202205905134853 is a prime.

It is a super-2 number, since 2×2022102001021492 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202210200102049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101105100051074 + 101105100051075.

It is an arithmetic number, because the mean of its divisors is an integer number (101105100051075).

Almost surely, 2202210200102149 is an apocalyptic number.

It is an amenable number.

202210200102149 is a deficient number, since it is larger than the sum of its proper divisors (1).

202210200102149 is an equidigital number, since it uses as much as digits as its factorization.

202210200102149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 202210200102149 in words is "two hundred two trillion, two hundred ten billion, two hundred million, one hundred two thousand, one hundred forty-nine".