Search a number
-
+
22153202161 is a prime number
BaseRepresentation
bin10100101000011011…
…110000100111110001
32010011220011021022221
4110220123300213301
5330332204432121
614102124001041
71412656053136
oct245033604761
963156137287
1022153202161
1194389a5742
124363090181
13212080255c
14110226058d
15899ce1b41
hex5286f09f1

22153202161 has 2 divisors, whose sum is σ = 22153202162. Its totient is φ = 22153202160.

The previous prime is 22153202153. The next prime is 22153202213. The reversal of 22153202161 is 16120235122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22031761761 + 121440400 = 148431^2 + 11020^2 .

It is a cyclic number.

It is not a de Polignac number, because 22153202161 - 23 = 22153202153 is a prime.

It is a super-2 number, since 2×221532021612 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22153202111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11076601080 + 11076601081.

It is an arithmetic number, because the mean of its divisors is an integer number (11076601081).

Almost surely, 222153202161 is an apocalyptic number.

It is an amenable number.

22153202161 is a deficient number, since it is larger than the sum of its proper divisors (1).

22153202161 is an equidigital number, since it uses as much as digits as its factorization.

22153202161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 22153202161 its reverse (16120235122), we get a palindrome (38273437283).

The spelling of 22153202161 in words is "twenty-two billion, one hundred fifty-three million, two hundred two thousand, one hundred sixty-one".