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200100122212221 = 327111039127787967
BaseRepresentation
bin101101011111110101110000…
…101101000011011101111101
3222020111101101120020102110200
4231133311300231003131331
5202211420022241242341
61545324421015554113
760101520365140050
oct5537656055033575
9866441346212420
10200100122212221
1158837a92431290
121a5388b208b939
13878648c1bb43a
14375ac7cdb8a97
1518200e3db9db6
hexb5fd70b4377d

200100122212221 has 48 divisors (see below), whose sum is σ = 360388159193088. Its totient is φ = 103938108026400.

The previous prime is 200100122212201. The next prime is 200100122212231. The reversal of 200100122212221 is 122212221001002.

It is a happy number.

200100122212221 is a `hidden beast` number, since 200 + 10 + 0 + 1 + 22 + 212 + 221 = 666.

It is not a de Polignac number, because 200100122212221 - 213 = 200100122204029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200100122212194 and 200100122212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200100122212201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6693021 + ... + 21094946.

It is an arithmetic number, because the mean of its divisors is an integer number (7508086649856).

Almost surely, 2200100122212221 is an apocalyptic number.

200100122212221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200100122212221 is a deficient number, since it is larger than the sum of its proper divisors (160288036980867).

200100122212221 is a wasteful number, since it uses less digits than its factorization.

200100122212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27798382 (or 27798379 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200100122212221 its reverse (122212221001002), we get a palindrome (322312343213223).

The spelling of 200100122212221 in words is "two hundred trillion, one hundred billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 10391 31173 72737 93519 114301 218211 342903 654633 800107 1028709 2400321 7200963 27787967 83363901 194515769 250091703 305667637 583547307 917002911 1750641921 2139673459 2751008733 6419020377 19257061131 288744765097 866234295291 2021213355679 2598702885873 3176192416067 6063640067037 9528577248201 18190920201111 22233346912469 28585731744603 66700040737407 200100122212221