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122210029829 is a prime number
BaseRepresentation
bin111000111010001001…
…0010001000100000101
3102200110000201202111002
41301310102101010011
54000241231423304
6132050441023045
711554323054026
oct1616422210405
9380400652432
10122210029829
1147913415258
121b827a84a85
13b6a801b024
145cb4a74c4d
1532a400431e
hex1c74491105

122210029829 has 2 divisors, whose sum is σ = 122210029830. Its totient is φ = 122210029828.

The previous prime is 122210029817. The next prime is 122210029841. The reversal of 122210029829 is 928920012221.

It is a balanced prime because it is at equal distance from previous prime (122210029817) and next prime (122210029841).

It can be written as a sum of positive squares in only one way, i.e., 122209672225 + 357604 = 349585^2 + 598^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122210029829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122210029792 and 122210029801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122210029889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105014914 + 61105014915.

It is an arithmetic number, because the mean of its divisors is an integer number (61105014915).

Almost surely, 2122210029829 is an apocalyptic number.

It is an amenable number.

122210029829 is a deficient number, since it is larger than the sum of its proper divisors (1).

122210029829 is an equidigital number, since it uses as much as digits as its factorization.

122210029829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 122210029829 in words is "one hundred twenty-two billion, two hundred ten million, twenty-nine thousand, eight hundred twenty-nine".