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90101101 is a prime number
BaseRepresentation
bin1010101111011…
…01010101101101
320021112121110211
411113231111231
5141031213401
612535102421
72142563266
oct527552555
9207477424
1090101101
1146950322
1226211a11
1315888c7c
14bd7596d
157d9b951
hex55ed56d

90101101 has 2 divisors, whose sum is σ = 90101102. Its totient is φ = 90101100.

The previous prime is 90101047. The next prime is 90101107. The reversal of 90101101 is 10110109.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46936201 + 43164900 = 6851^2 + 6570^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90101101 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90101107) 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, 45050550 + 45050551.

It is an arithmetic number, because the mean of its divisors is an integer number (45050551).

Almost surely, 290101101 is an apocalyptic number.

It is an amenable number.

90101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

90101101 is an equidigital number, since it uses as much as digits as its factorization.

90101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 90101101 is about 9492.1599754745. The cubic root of 90101101 is about 448.3082172313.

The spelling of 90101101 in words is "ninety million, one hundred one thousand, one hundred one".