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90213231217 is a prime number
BaseRepresentation
bin101010000000100100…
…0001010101001110001
322121212010002222100211
41110001020022221301
52434224041344332
6105235434344121
76342365545624
oct1240110125161
9277763088324
1090213231217
113529402093a
121559828b041
13867905cab5
14451b365dbb
15252ee4b447
hex150120aa71

90213231217 has 2 divisors, whose sum is σ = 90213231218. Its totient is φ = 90213231216.

The previous prime is 90213231137. The next prime is 90213231247. The reversal of 90213231217 is 71213231209.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87639089521 + 2574141696 = 296039^2 + 50736^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90213231217 is a prime.

It is a super-2 number, since 2×902132312172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (90213231247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45106615608 + 45106615609.

It is an arithmetic number, because the mean of its divisors is an integer number (45106615609).

Almost surely, 290213231217 is an apocalyptic number.

It is an amenable number.

90213231217 is a deficient number, since it is larger than the sum of its proper divisors (1).

90213231217 is an equidigital number, since it uses as much as digits as its factorization.

90213231217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 90213231217 in words is "ninety billion, two hundred thirteen million, two hundred thirty-one thousand, two hundred seventeen".