Search a number
-
+
202322281211101 is a prime number
BaseRepresentation
bin101110000000001011010011…
…101100111010010011011101
3222112100211011122102201212101
4232000023103230322103131
5203004322012442223401
61554145323423205101
760421205511030322
oct5600132354722335
9875324148381771
10202322281211101
1159514441238087
121a8374b6746791
1388b7ba882381c
1437d6644878b49
15185cd008a6101
hexb802d3b3a4dd

202322281211101 has 2 divisors, whose sum is σ = 202322281211102. Its totient is φ = 202322281211100.

The previous prime is 202322281211069. The next prime is 202322281211107. The reversal of 202322281211101 is 101112182223202.

202322281211101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172842268008601 + 29480013202500 = 13146949^2 + 5429550^2 .

It is a cyclic number.

It is not a de Polignac number, because 202322281211101 - 25 = 202322281211069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202322281211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202322281211107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101161140605550 + 101161140605551.

It is an arithmetic number, because the mean of its divisors is an integer number (101161140605551).

Almost surely, 2202322281211101 is an apocalyptic number.

It is an amenable number.

202322281211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202322281211101 is an equidigital number, since it uses as much as digits as its factorization.

202322281211101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 28.

The spelling of 202322281211101 in words is "two hundred two trillion, three hundred twenty-two billion, two hundred eighty-one million, two hundred eleven thousand, one hundred one".