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10222132229 is a prime number
BaseRepresentation
bin10011000010100100…
…10101110000000101
3222101101202010020222
421201102111300011
5131413331212404
64410155434125
7511212455531
oct114122256005
928341663228
1010222132229
114376144271
121b93455945
13c6ba2356a
146cd866bc1
153ec639dbe
hex261495c05

10222132229 has 2 divisors, whose sum is σ = 10222132230. Its totient is φ = 10222132228.

The previous prime is 10222132223. The next prime is 10222132237. The reversal of 10222132229 is 92223122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8447448100 + 1774684129 = 91910^2 + 42127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10222132229 is a prime.

It is a super-3 number, since 3×102221322293 (a number of 31 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10222132198 and 10222132207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222132223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111066114 + 5111066115.

It is an arithmetic number, because the mean of its divisors is an integer number (5111066115).

Almost surely, 210222132229 is an apocalyptic number.

It is an amenable number.

10222132229 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222132229 is an equidigital number, since it uses as much as digits as its factorization.

10222132229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 10222132229 in words is "ten billion, two hundred twenty-two million, one hundred thirty-two thousand, two hundred twenty-nine".