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220000000012129 is a prime number
BaseRepresentation
bin110010000001011010111101…
…110110011110111101100001
31001211221210110021010011212101
4302001122331312132331201
5212313440000000342004
62055522334343530401
764224322042416661
oct6201327566367541
91054853407104771
10220000000012129
116410a526689507
1220811582a59a01
13959abac57829c
143c480b1c861a1
151a67a88e28ba4
hexc816bdd9ef61

220000000012129 has 2 divisors, whose sum is σ = 220000000012130. Its totient is φ = 220000000012128.

The previous prime is 220000000012069. The next prime is 220000000012147. The reversal of 220000000012129 is 921210000000022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143159908853025 + 76840091159104 = 11964945^2 + 8765848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220000000012129 is a prime.

It is a super-2 number, since 2×2200000000121292 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220000000012229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110000000006064 + 110000000006065.

It is an arithmetic number, because the mean of its divisors is an integer number (110000000006065).

Almost surely, 2220000000012129 is an apocalyptic number.

It is an amenable number.

220000000012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

220000000012129 is an equidigital number, since it uses as much as digits as its factorization.

220000000012129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 220000000012129 in words is "two hundred twenty trillion, twelve thousand, one hundred twenty-nine".