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219904105512881 is a prime number
BaseRepresentation
bin110010000000000001101010…
…000101111111111110110001
31001211121121221012200212220002
4302000001222011333332301
5212310402102002403011
62055410315035555345
764214355506550266
oct6200015205777661
91054547835625802
10219904105512881
1164082897745939
12207b6a7bbbbb55
139591b394a873a
143c435b619d26d
151a65325353c3b
hexc8006a17ffb1

219904105512881 has 2 divisors, whose sum is σ = 219904105512882. Its totient is φ = 219904105512880.

The previous prime is 219904105512809. The next prime is 219904105512989. The reversal of 219904105512881 is 188215501409912.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219852057653281 + 52047859600 = 14827409^2 + 228140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-219904105512881 is a prime.

It is a super-2 number, since 2×2199041055128812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (219904105512281) 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, 109952052756440 + 109952052756441.

It is an arithmetic number, because the mean of its divisors is an integer number (109952052756441).

Almost surely, 2219904105512881 is an apocalyptic number.

It is an amenable number.

219904105512881 is a deficient number, since it is larger than the sum of its proper divisors (1).

219904105512881 is an equidigital number, since it uses as much as digits as its factorization.

219904105512881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2073600, while the sum is 56.

The spelling of 219904105512881 in words is "two hundred nineteen trillion, nine hundred four billion, one hundred five million, five hundred twelve thousand, eight hundred eighty-one".