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122616434029 is a prime number
BaseRepresentation
bin111001000110010000…
…0100100110101101101
3102201111100110020020111
41302030200210311231
54002104301342104
6132155035420021
711600356330645
oct1621440446555
9381440406214
10122616434029
11480018647a1
121b91bbb4611
13b74129259b
145d12a25525
1532c9a30404
hex1c8c824d6d

122616434029 has 2 divisors, whose sum is σ = 122616434030. Its totient is φ = 122616434028.

The previous prime is 122616433981. The next prime is 122616434081. The reversal of 122616434029 is 920434616221.

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., 62995980100 + 59620453929 = 250990^2 + 244173^2 .

It is a cyclic number.

It is not a de Polignac number, because 122616434029 - 213 = 122616425837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122616433982 and 122616434000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122616434099) 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, 61308217014 + 61308217015.

It is an arithmetic number, because the mean of its divisors is an integer number (61308217015).

Almost surely, 2122616434029 is an apocalyptic number.

It is an amenable number.

122616434029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122616434029 is an equidigital number, since it uses as much as digits as its factorization.

122616434029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 122616434029 in words is "one hundred twenty-two billion, six hundred sixteen million, four hundred thirty-four thousand, twenty-nine".