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122154202381 is a prime number
BaseRepresentation
bin111000111000011110…
…1010011010100001101
3102200022010200102121211
41301300331103110031
54000132433434011
6132041124254421
711553044405551
oct1616075232415
9380263612554
10122154202381
1147894954272
121b811241411
13b6995a2333
145cab4a1861
15329e177b21
hex1c70f5350d

122154202381 has 2 divisors, whose sum is σ = 122154202382. Its totient is φ = 122154202380.

The previous prime is 122154202297. The next prime is 122154202397. The reversal of 122154202381 is 183202451221.

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., 96389137156 + 25765065225 = 310466^2 + 160515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122154202381 is a prime.

It is a super-2 number, since 2×1221542023812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122154202981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61077101190 + 61077101191.

It is an arithmetic number, because the mean of its divisors is an integer number (61077101191).

Almost surely, 2122154202381 is an apocalyptic number.

It is an amenable number.

122154202381 is a deficient number, since it is larger than the sum of its proper divisors (1).

122154202381 is an equidigital number, since it uses as much as digits as its factorization.

122154202381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 122154202381 in words is "one hundred twenty-two billion, one hundred fifty-four million, two hundred two thousand, three hundred eighty-one".