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122414198381 is a prime number
BaseRepresentation
bin111001000000001110…
…1000110111001101101
3102200222020220121002022
41302000131012321231
54001201013322011
6132123013035525
711562352342436
oct1620035067155
9380866817068
10122414198381
1147a086950a2
121b884325ba5
13b70b404817
145cd3c2048d
1532b6dd38db
hex1c80746e6d

122414198381 has 2 divisors, whose sum is σ = 122414198382. Its totient is φ = 122414198380.

The previous prime is 122414198353. The next prime is 122414198471. The reversal of 122414198381 is 183891414221.

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., 94836282025 + 27577916356 = 307955^2 + 166066^2 .

It is a cyclic number.

It is not a de Polignac number, because 122414198381 - 222 = 122410004077 is a prime.

It is a super-3 number, since 3×1224141983813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122414198311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61207099190 + 61207099191.

It is an arithmetic number, because the mean of its divisors is an integer number (61207099191).

Almost surely, 2122414198381 is an apocalyptic number.

It is an amenable number.

122414198381 is a deficient number, since it is larger than the sum of its proper divisors (1).

122414198381 is an equidigital number, since it uses as much as digits as its factorization.

122414198381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 110592, while the sum is 44.

The spelling of 122414198381 in words is "one hundred twenty-two billion, four hundred fourteen million, one hundred ninety-eight thousand, three hundred eighty-one".