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12200202101117 is a prime number
BaseRepresentation
bin1011000110001001010010…
…1101100110000101111101
31121012022212001122120220102
42301202110231212011331
53044342003214213432
641540410115530445
72366302244544422
oct261422455460575
947168761576812
1012200202101117
113984093033618
121450592bb9a25
136a6621850504
143026c886bd49
1516254deb6962
hexb1894b6617d

12200202101117 has 2 divisors, whose sum is σ = 12200202101118. Its totient is φ = 12200202101116.

The previous prime is 12200202101093. The next prime is 12200202101141. The reversal of 12200202101117 is 71110120200221.

It is a happy number.

12200202101117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12200202101093) and next prime (12200202101141).

It can be written as a sum of positive squares in only one way, i.e., 9045212640676 + 3154989460441 = 3007526^2 + 1776229^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200202101117 - 242 = 7802155590013 is a prime.

It is a super-2 number, since 2×122002021011172 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200202101177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100101050558 + 6100101050559.

It is an arithmetic number, because the mean of its divisors is an integer number (6100101050559).

Almost surely, 212200202101117 is an apocalyptic number.

It is an amenable number.

12200202101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200202101117 is an equidigital number, since it uses as much as digits as its factorization.

12200202101117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 12200202101117 its reverse (71110120200221), we get a palindrome (83310322301338).

The spelling of 12200202101117 in words is "twelve trillion, two hundred billion, two hundred two million, one hundred one thousand, one hundred seventeen".