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122009047829 is a prime number
BaseRepresentation
bin111000110100001001…
…1100101001100010101
3102122221000112211000022
41301220103211030111
53444333304012304
6132014501154525
711546332536464
oct1615023451425
9378830484008
10122009047829
114781aa21529
121b7906bba45
13b6754aba76
145c960b89db
153291553ebe
hex1c684e5315

122009047829 has 2 divisors, whose sum is σ = 122009047830. Its totient is φ = 122009047828.

The previous prime is 122009047819. The next prime is 122009047837. The reversal of 122009047829 is 928740900221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112695832804 + 9313215025 = 335702^2 + 96505^2 .

It is an emirp because it is prime and its reverse (928740900221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122009047829 - 24 = 122009047813 is a prime.

It is a super-2 number, since 2×1220090478292 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122009047829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122009047819) 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, 61004523914 + 61004523915.

It is an arithmetic number, because the mean of its divisors is an integer number (61004523915).

Almost surely, 2122009047829 is an apocalyptic number.

It is an amenable number.

122009047829 is a deficient number, since it is larger than the sum of its proper divisors (1).

122009047829 is an equidigital number, since it uses as much as digits as its factorization.

122009047829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 122009047829 in words is "one hundred twenty-two billion, nine million, forty-seven thousand, eight hundred twenty-nine".