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122164612501 is a prime number
BaseRepresentation
bin111000111000110010…
…1000000110110010101
3102200022212021022121211
41301301211000312111
54000143120100001
6132042135341421
711553232034011
oct1616145006625
9380285238554
10122164612501
114789a814578
121b814821871
13b69b7a8779
145caca11541
1532a0032351
hex1c71940d95

122164612501 has 2 divisors, whose sum is σ = 122164612502. Its totient is φ = 122164612500.

The previous prime is 122164612477. The next prime is 122164612553. The reversal of 122164612501 is 105216461221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104442080625 + 17722531876 = 323175^2 + 133126^2 .

It is a cyclic number.

It is not a de Polignac number, because 122164612501 - 211 = 122164610453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122164612561) 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, 61082306250 + 61082306251.

It is an arithmetic number, because the mean of its divisors is an integer number (61082306251).

Almost surely, 2122164612501 is an apocalyptic number.

It is an amenable number.

122164612501 is a deficient number, since it is larger than the sum of its proper divisors (1).

122164612501 is an equidigital number, since it uses as much as digits as its factorization.

122164612501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 122164612501 in words is "one hundred twenty-two billion, one hundred sixty-four million, six hundred twelve thousand, five hundred one".