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22354246129 is a prime number
BaseRepresentation
bin10100110100011010…
…101011100111110001
32010200220110100210211
4110310122223213301
5331240141334004
614134105024121
71420646646145
oct246432534761
963626410724
1022354246129
119531430a86
1243ba485041
132153363a97
141120c35225
158ac7a5504
hex5346ab9f1

22354246129 has 2 divisors, whose sum is σ = 22354246130. Its totient is φ = 22354246128.

The previous prime is 22354246121. The next prime is 22354246141. The reversal of 22354246129 is 92164245322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18865571904 + 3488674225 = 137352^2 + 59065^2 .

It is a cyclic number.

It is not a de Polignac number, because 22354246129 - 23 = 22354246121 is a prime.

It is a super-2 number, since 2×223542461292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22354246091 and 22354246100.

It is not a weakly prime, because it can be changed into another prime (22354246121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11177123064 + 11177123065.

It is an arithmetic number, because the mean of its divisors is an integer number (11177123065).

Almost surely, 222354246129 is an apocalyptic number.

It is an amenable number.

22354246129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22354246129 is an equidigital number, since it uses as much as digits as its factorization.

22354246129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 207360, while the sum is 40.

The spelling of 22354246129 in words is "twenty-two billion, three hundred fifty-four million, two hundred forty-six thousand, one hundred twenty-nine".