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2200016100022 = 2131723668932353
BaseRepresentation
bin100000000000111011001…
…011011001101010110110
321210022121220102111112121
4200000323023121222312
5242021113110200042
64402401244110154
7314642310205636
oct40007313315266
97708556374477
102200016100022
11779026809194
122b6464b3535a
1312c5caccc790
14786a4b626c6
153c362a82367
hex2003b2d9ab6

2200016100022 has 64 divisors (see below), whose sum is σ = 3927237229440. Its totient is φ = 913947623424.

The previous prime is 2200016100013. The next prime is 2200016100041.

2200016100022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2200016099969 and 2200016100005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67984198 + ... + 68016550.

It is an arithmetic number, because the mean of its divisors is an integer number (61363081710).

Almost surely, 22200016100022 is an apocalyptic number.

2200016100022 is a deficient number, since it is larger than the sum of its proper divisors (1727221129418).

2200016100022 is a wasteful number, since it uses less digits than its factorization.

2200016100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39097.

The product of its (nonzero) digits is 96, while the sum is 16.

The spelling of 2200016100022 in words is "two trillion, two hundred billion, sixteen million, one hundred thousand, twenty-two".

Divisors: 1 2 13 17 23 26 34 46 221 299 391 442 598 782 5083 6689 10166 13378 32353 64706 86957 113713 153847 173914 227426 307694 420589 550001 744119 841178 1100002 1478269 1488238 2000011 2615399 2956538 4000022 5230798 7150013 9673547 12650023 14300026 19347094 25300046 34000187 68000374 164450299 216409217 328900598 432818434 2813319821 3678956689 4977411991 5626639642 7357913378 9954823982 47826436957 64706355883 84616003847 95652873914 129412711766 169232007694 1100008050011 2200016100022