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10000222092929 is a prime number
BaseRepresentation
bin1001000110000101101110…
…1011110111111010000001
31022102000022200010202001102
42101201123223313322001
52302320423323433204
633134012201144145
72051330553165455
oct221413353677201
938360280122042
1010000222092929
1132060857367a2
12115613a18b055
1357702b179763
14268028822665
151251de6b341e
hex9185baf7e81

10000222092929 has 2 divisors, whose sum is σ = 10000222092930. Its totient is φ = 10000222092928.

The previous prime is 10000222092853. The next prime is 10000222092937. The reversal of 10000222092929 is 92929022200001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9560142434704 + 440079658225 = 3091948^2 + 663385^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000222092929 - 212 = 10000222088833 is a prime.

It is a super-2 number, since 2×100002220929292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000222092892 and 10000222092901.

It is not a weakly prime, because it can be changed into another prime (10000222092979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000111046464 + 5000111046465.

It is an arithmetic number, because the mean of its divisors is an integer number (5000111046465).

Almost surely, 210000222092929 is an apocalyptic number.

It is an amenable number.

10000222092929 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000222092929 is an equidigital number, since it uses as much as digits as its factorization.

10000222092929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 10000222092929 in words is "ten trillion, two hundred twenty-two million, ninety-two thousand, nine hundred twenty-nine".