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2890001122117 is a prime number
BaseRepresentation
bin101010000011100001011…
…111011000001101000101
3101020021121010222022022221
4222003201133120031011
5334322210241401432
610051352001452341
7415536631136104
oct52034137301505
911207533868287
102890001122117
11a1470832273a
123a81276410b1
1317c6ab636995
149dc3bd2603b
15502977bdb97
hex2a0e17d8345

2890001122117 has 2 divisors, whose sum is σ = 2890001122118. Its totient is φ = 2890001122116.

The previous prime is 2890001122087. The next prime is 2890001122171. The reversal of 2890001122117 is 7112211000982.

Together with next prime (2890001122171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2686612749921 + 203388372196 = 1639089^2 + 450986^2 .

It is a cyclic number.

It is not a de Polignac number, because 2890001122117 - 27 = 2890001121989 is a prime.

It is a super-3 number, since 3×28900011221173 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2890001102117) 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, 1445000561058 + 1445000561059.

It is an arithmetic number, because the mean of its divisors is an integer number (1445000561059).

Almost surely, 22890001122117 is an apocalyptic number.

It is an amenable number.

2890001122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2890001122117 is an equidigital number, since it uses as much as digits as its factorization.

2890001122117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 34.

The spelling of 2890001122117 in words is "two trillion, eight hundred ninety billion, one million, one hundred twenty-two thousand, one hundred seventeen".