Search a number
-
+
90219159552101 is a prime number
BaseRepresentation
bin10100100000110111001000…
…111101010000000001100101
3102211102212102100110001102112
4110200313020331100001211
543311122314321131401
6515514035411250405
725001055610110266
oct2440671075200145
9384385370401375
1090219159552101
1126823804616438
12a1510b1ba9a05
133b4582683bc88
14183c8b85d296d
15a66c19da53bb
hex520dc8f50065

90219159552101 has 2 divisors, whose sum is σ = 90219159552102. Its totient is φ = 90219159552100.

The previous prime is 90219159552043. The next prime is 90219159552227. The reversal of 90219159552101 is 10125595191209.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90219108643876 + 50908225 = 9498374^2 + 7135^2 .

It is a cyclic number.

It is not a de Polignac number, because 90219159552101 - 218 = 90219159289957 is a prime.

It is a super-2 number, since 2×902191595521012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90219159552101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90219159555101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45109579776050 + 45109579776051.

It is an arithmetic number, because the mean of its divisors is an integer number (45109579776051).

Almost surely, 290219159552101 is an apocalyptic number.

It is an amenable number.

90219159552101 is a deficient number, since it is larger than the sum of its proper divisors (1).

90219159552101 is an equidigital number, since it uses as much as digits as its factorization.

90219159552101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 364500, while the sum is 50.

The spelling of 90219159552101 in words is "ninety trillion, two hundred nineteen billion, one hundred fifty-nine million, five hundred fifty-two thousand, one hundred one".