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122000020102193 is a prime number
BaseRepresentation
bin11011101111010101010111…
…110111000101110000110001
3120222222002101011110011221012
4123233111113313011300301
5111442322020121232233
61111250011400440305
734461132141435212
oct3357252767056061
9528862334404835
10122000020102193
1135966a108a5082
1211824507a79095
13530c724babb1c
14221ab92473409
15e187792a4548
hex6ef557dc5c31

122000020102193 has 2 divisors, whose sum is σ = 122000020102194. Its totient is φ = 122000020102192.

The previous prime is 122000020102133. The next prime is 122000020102199. The reversal of 122000020102193 is 391201020000221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119760783199729 + 2239236902464 = 10943527^2 + 1496408^2 .

It is an emirp because it is prime and its reverse (391201020000221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122000020102193 - 232 = 121995725134897 is a prime.

It is not a weakly prime, because it can be changed into another prime (122000020102199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61000010051096 + 61000010051097.

It is an arithmetic number, because the mean of its divisors is an integer number (61000010051097).

Almost surely, 2122000020102193 is an apocalyptic number.

It is an amenable number.

122000020102193 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000020102193 is an equidigital number, since it uses as much as digits as its factorization.

122000020102193 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 23.

The spelling of 122000020102193 in words is "one hundred twenty-two trillion, twenty million, one hundred two thousand, one hundred ninety-three".