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2200200212122 = 211718946334183
BaseRepresentation
bin100000000001000110001…
…001101110111010011010
321210100002201212100212021
4200001012021232322122
5242022002223241442
64402431422205054
7314650004141623
oct40010611567232
97710081770767
102200200212122
1177911072a350
122b64b672378a
1312c62a1b3253
14786c13aaa4a
153c373cede67
hex2004626ee9a

2200200212122 has 64 divisors (see below), whose sum is σ = 3700141793280. Its totient is φ = 972792374400.

The previous prime is 2200200212117. The next prime is 2200200212129. The reversal of 2200200212122 is 2212120020022.

It is a junction number, because it is equal to n+sod(n) for n = 2200200212096 and 2200200212105.

It is not an unprimeable number, because it can be changed into a prime (2200200212129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64348243 + ... + 64382425.

It is an arithmetic number, because the mean of its divisors is an integer number (57814715520).

Almost surely, 22200200212122 is an apocalyptic number.

2200200212122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2200200212122 is a deficient number, since it is larger than the sum of its proper divisors (1499941581158).

2200200212122 is a wasteful number, since it uses less digits than its factorization.

2200200212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34819.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2200200212122 its reverse (2212120020022), we get a palindrome (4412320232144).

The spelling of 2200200212122 in words is "two trillion, two hundred billion, two hundred million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 71 89 142 178 463 781 926 979 1562 1958 5093 6319 10186 12638 32873 34183 41207 65746 68366 69509 82414 139018 361603 376013 453277 723206 752026 906554 2426993 2925697 3042287 4853986 5851394 6084574 15826729 26696923 31653458 32182667 33465157 53393846 64365334 66930314 174094019 216002377 348188038 432004754 1123697759 1408578881 2247395518 2376026147 2817157762 4752052294 12360675349 15494367691 24721350698 30988735382 100009100551 200018201102 1100100106061 2200200212122