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2210102000149 is a prime number
BaseRepresentation
bin100000001010010100010…
…110000011101000010101
321211021122210211022111011
4200022110112003220111
5242202242103001044
64411150140012221
7315450250016401
oct40122426035025
97737583738434
102210102000149
11782331a6423a
122b83ba831071
13130547734a14
1478d80486101
153c75325c134
hex20294583a15

2210102000149 has 2 divisors, whose sum is σ = 2210102000150. Its totient is φ = 2210102000148.

The previous prime is 2210102000147. The next prime is 2210102000177. The reversal of 2210102000149 is 9410002010122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1384429917924 + 825672082225 = 1176618^2 + 908665^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210102000149 - 21 = 2210102000147 is a prime.

It is a super-3 number, since 3×22101020001493 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2210102000147, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210102000147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105051000074 + 1105051000075.

It is an arithmetic number, because the mean of its divisors is an integer number (1105051000075).

Almost surely, 22210102000149 is an apocalyptic number.

It is an amenable number.

2210102000149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210102000149 is an equidigital number, since it uses as much as digits as its factorization.

2210102000149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 2210102000149 in words is "two trillion, two hundred ten billion, one hundred two million, one hundred forty-nine", and thus it is an aban number.