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222122000010109 is a prime number
BaseRepresentation
bin110010100000010011001110…
…111010000100101101111101
31002010110122201002111001210011
4302200103032322010231331
5213103221324000310414
62104225234344143221
764533533140663243
oct6240231672045575
91063418632431704
10222122000010109
116485845832a501
1220ab4894467b11
1396c3026470174
143cbca95536793
151aa2d8276ddc4
hexca04cee84b7d

222122000010109 has 2 divisors, whose sum is σ = 222122000010110. Its totient is φ = 222122000010108.

The previous prime is 222122000010083. The next prime is 222122000010137. The reversal of 222122000010109 is 901010000221222.

222122000010109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220762392705625 + 1359607304484 = 14858075^2 + 1166022^2 .

It is a cyclic number.

It is not a de Polignac number, because 222122000010109 - 211 = 222122000008061 is a prime.

It is a super-2 number, since 2×2221220000101092 (a number of 29 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 222122000010109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222122000010179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111061000005054 + 111061000005055.

It is an arithmetic number, because the mean of its divisors is an integer number (111061000005055).

Almost surely, 2222122000010109 is an apocalyptic number.

It is an amenable number.

222122000010109 is a deficient number, since it is larger than the sum of its proper divisors (1).

222122000010109 is an equidigital number, since it uses as much as digits as its factorization.

222122000010109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 222122000010109 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, ten thousand, one hundred nine".