Search a number
-
+
122154202397 is a prime number
BaseRepresentation
bin111000111000011110…
…1010011010100011101
3102200022010200102122102
41301300331103110131
54000132433434042
6132041124254445
711553044405603
oct1616075232435
9380263612572
10122154202397
1147894954287
121b811241425
13b6995a2346
145cab4a1873
15329e177b32
hex1c70f5351d

122154202397 has 2 divisors, whose sum is σ = 122154202398. Its totient is φ = 122154202396.

The previous prime is 122154202381. The next prime is 122154202399. The reversal of 122154202397 is 793202451221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121136018116 + 1018184281 = 348046^2 + 31909^2 .

It is an emirp because it is prime and its reverse (793202451221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122154202397 - 24 = 122154202381 is a prime.

Together with 122154202399, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122154202397.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122154202399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61077101198 + 61077101199.

It is an arithmetic number, because the mean of its divisors is an integer number (61077101199).

Almost surely, 2122154202397 is an apocalyptic number.

It is an amenable number.

122154202397 is a deficient number, since it is larger than the sum of its proper divisors (1).

122154202397 is an equidigital number, since it uses as much as digits as its factorization.

122154202397 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 122154202397 in words is "one hundred twenty-two billion, one hundred fifty-four million, two hundred two thousand, three hundred ninety-seven".