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90909091601 is a prime number
BaseRepresentation
bin101010010101010011…
…0101010011100010001
322200122121111100100122
41110222212222130101
52442140211412401
6105432453200025
76365545346246
oct1245246523421
9280577440318
1090909091601
11356108a3069
1215751330015
13875a27cbc3
1445859435cd
1525710a221b
hex152a9aa711

90909091601 has 2 divisors, whose sum is σ = 90909091602. Its totient is φ = 90909091600.

The previous prime is 90909091579. The next prime is 90909091631. The reversal of 90909091601 is 10619090909.

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., 87971560000 + 2937531601 = 296600^2 + 54199^2 .

It is a cyclic number.

It is not a de Polignac number, because 90909091601 - 210 = 90909090577 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (90909091631) 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, 45454545800 + 45454545801.

It is an arithmetic number, because the mean of its divisors is an integer number (45454545801).

Almost surely, 290909091601 is an apocalyptic number.

It is an amenable number.

90909091601 is a deficient number, since it is larger than the sum of its proper divisors (1).

90909091601 is an equidigital number, since it uses as much as digits as its factorization.

90909091601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 44.

The spelling of 90909091601 in words is "ninety billion, nine hundred nine million, ninety-one thousand, six hundred one".