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122340133031 is a prime number
BaseRepresentation
bin111000111110000001…
…0100100100010100111
3102200210002112200112012
41301330002210202213
54001023033224111
6132111405344435
711560462654454
oct1617402444247
9380702480465
10122340133031
114797a8a7766
121b86356811b
13b6c8c7177c
145cc806082b
1532b065348b
hex1c7c0a48a7

122340133031 has 2 divisors, whose sum is σ = 122340133032. Its totient is φ = 122340133030.

The previous prime is 122340132979. The next prime is 122340133051. The reversal of 122340133031 is 130331043221.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122340133031 is a prime.

It is a super-2 number, since 2×1223401330312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122340132988 and 122340133006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122340133051) 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, 61170066515 + 61170066516.

It is an arithmetic number, because the mean of its divisors is an integer number (61170066516).

Almost surely, 2122340133031 is an apocalyptic number.

122340133031 is a deficient number, since it is larger than the sum of its proper divisors (1).

122340133031 is an equidigital number, since it uses as much as digits as its factorization.

122340133031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122340133031 its reverse (130331043221), we get a palindrome (252671176252).

The spelling of 122340133031 in words is "one hundred twenty-two billion, three hundred forty million, one hundred thirty-three thousand, thirty-one".