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90919100161 is a prime number
BaseRepresentation
bin101010010101100110…
…0110101111100000001
322200200022022211112001
41110223030311330001
52442200242201121
6105433451504001
76366026412601
oct1245314657401
9280608284461
1090919100161
11356165096aa
1215754758001
13875c375626
144586dcac01
152571dcc991
hex152b335f01

90919100161 has 2 divisors, whose sum is σ = 90919100162. Its totient is φ = 90919100160.

The previous prime is 90919100159. The next prime is 90919100183. The reversal of 90919100161 is 16100191909.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73427450625 + 17491649536 = 270975^2 + 132256^2 .

It is a cyclic number.

It is not a de Polignac number, because 90919100161 - 21 = 90919100159 is a prime.

It is a super-4 number, since 4×909191001614 (a number of 45 digits) contains 4444 as substring.

Together with 90919100159, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 90919100161.

It is not a weakly prime, because it can be changed into another prime (90919104161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45459550080 + 45459550081.

It is an arithmetic number, because the mean of its divisors is an integer number (45459550081).

Almost surely, 290919100161 is an apocalyptic number.

It is an amenable number.

90919100161 is a deficient number, since it is larger than the sum of its proper divisors (1).

90919100161 is an equidigital number, since it uses as much as digits as its factorization.

90919100161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 37.

The spelling of 90919100161 in words is "ninety billion, nine hundred nineteen million, one hundred thousand, one hundred sixty-one".