Search a number
-
+
202202112202001 is a prime number
BaseRepresentation
bin101101111110011011011001…
…000100100001010100010001
3222111221022222212020120110122
4231332123121010201110101
5203000334411210431001
61554014211252240025
760406422560224112
oct5576333104412421
9874838885216418
10202202112202001
1159478485a37a1a
121a81815a310015
1388a9767613192
1437d08c4cda209
151859b1ab68b1b
hexb7e6d9121511

202202112202001 has 2 divisors, whose sum is σ = 202202112202002. Its totient is φ = 202202112202000.

The previous prime is 202202112201997. The next prime is 202202112202037. The reversal of 202202112202001 is 100202211202202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200906102998225 + 1296009203776 = 14174135^2 + 1138424^2 .

It is a cyclic number.

It is not a de Polignac number, because 202202112202001 - 22 = 202202112201997 is a prime.

It is not a weakly prime, because it can be changed into another prime (202202112202201) 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, 101101056101000 + 101101056101001.

It is an arithmetic number, because the mean of its divisors is an integer number (101101056101001).

Almost surely, 2202202112202001 is an apocalyptic number.

It is an amenable number.

202202112202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

202202112202001 is an equidigital number, since it uses as much as digits as its factorization.

202202112202001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202202112202001 its reverse (100202211202202), we get a palindrome (302404323404203).

The spelling of 202202112202001 in words is "two hundred two trillion, two hundred two billion, one hundred twelve million, two hundred two thousand, one".