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2122001112193 is a prime number
BaseRepresentation
bin11110111000010001000…
…111110101110010000001
321111212020220110111022221
4132320101013311302001
5234231324241042233
64302500040131041
7306211110563554
oct36702107656201
97455226414287
102122001112193
11748a32342136
122a3311a66a81
131251471c50a1
14749c38a069b
153a2e89b542d
hex1ee111f5c81

2122001112193 has 2 divisors, whose sum is σ = 2122001112194. Its totient is φ = 2122001112192.

The previous prime is 2122001112107. The next prime is 2122001112221. The reversal of 2122001112193 is 3912111002212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1551601570689 + 570399541504 = 1245633^2 + 755248^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122001112193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122001112793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061000556096 + 1061000556097.

It is an arithmetic number, because the mean of its divisors is an integer number (1061000556097).

Almost surely, 22122001112193 is an apocalyptic number.

It is an amenable number.

2122001112193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122001112193 is an equidigital number, since it uses as much as digits as its factorization.

2122001112193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 2122001112193 in words is "two trillion, one hundred twenty-two billion, one million, one hundred twelve thousand, one hundred ninety-three".