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11002222312129 is a prime number
BaseRepresentation
bin1010000000011010011110…
…0011010111101011000001
31102221210122210022211110001
42200012213203113223001
52420230022402442004
635222203503240001
72213612216421406
oct240064743275301
942853583284401
1011002222312129
11356201a738a04
121298379ba9001
1361a674968349
142a07207802ad
151412d68321a4
hexa01a78d7ac1

11002222312129 has 2 divisors, whose sum is σ = 11002222312130. Its totient is φ = 11002222312128.

The previous prime is 11002222312063. The next prime is 11002222312201. The reversal of 11002222312129 is 92121322220011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6478944072129 + 4523278240000 = 2545377^2 + 2126800^2 .

It is a cyclic number.

It is not a de Polignac number, because 11002222312129 - 213 = 11002222303937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11002222312097 and 11002222312106.

It is not a weakly prime, because it can be changed into another prime (11002222312229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5501111156064 + 5501111156065.

It is an arithmetic number, because the mean of its divisors is an integer number (5501111156065).

Almost surely, 211002222312129 is an apocalyptic number.

It is an amenable number.

11002222312129 is a deficient number, since it is larger than the sum of its proper divisors (1).

11002222312129 is an equidigital number, since it uses as much as digits as its factorization.

11002222312129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 11002222312129 in words is "eleven trillion, two billion, two hundred twenty-two million, three hundred twelve thousand, one hundred twenty-nine".