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200121000202112 = 27113114930771031
BaseRepresentation
bin101101100000001001001101…
…001000010000111110000000
3222020120101021120212012102112
4231200021031020100332000
5202212240302022431422
61545342152431434452
760103156641132203
oct5540111510207600
9866511246765375
10200121000202112
115884592651a090
121a54095a085a28
138788438754402
14375bc9db2b93a
151820916c65ee2
hexb6024d210f80

200121000202112 has 128 divisors (see below), whose sum is σ = 451964918016000. Its totient is φ = 87438958848000.

The previous prime is 200121000202111. The next prime is 200121000202157. The reversal of 200121000202112 is 211202000121002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2001210002021122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200121000202111) 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 15 ways as a sum of consecutive naturals, for example, 8881964 + ... + 21889067.

It is an arithmetic number, because the mean of its divisors is an integer number (3530975922000).

Almost surely, 2200121000202112 is an apocalyptic number.

200121000202112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

200121000202112 is an abundant number, since it is smaller than the sum of its proper divisors (251843917813888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200121000202112 is a wasteful number, since it uses less digits than its factorization.

200121000202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30771236 (or 30771224 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200121000202112 its reverse (211202000121002), we get a palindrome (411323000323114).

The spelling of 200121000202112 in words is "two hundred trillion, one hundred twenty-one billion, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 149 176 248 298 341 352 496 596 682 704 992 1192 1364 1408 1639 1984 2384 2728 3278 3968 4619 4768 5456 6556 9238 9536 10912 13112 18476 19072 21824 26224 36952 43648 50809 52448 73904 101618 104896 147808 203236 209792 295616 406472 591232 812944 1625888 3251776 6503552 30771031 61542062 123084124 246168248 338481341 492336496 676962682 953901961 984672992 1353925364 1907803922 1969345984 2707850728 3815607844 3938691968 4584883619 5415701456 7631215688 9169767238 10492921571 10831402912 15262431376 18339534476 20985843142 21662805824 30524862752 36679068952 41971686284 43325611648 50433719809 61049725504 73358137904 83943372568 100867439618 122099451008 142131392189 146716275808 167886745136 201734879236 284262784378 293432551616 335773490272 403469758472 568525568756 586865103232 671546980544 806939516944 1137051137512 1343093961088 1563445314079 1613879033888 2274102275024 3126890628158 3227758067776 4548204550048 6253781256316 6455516135552 9096409100096 12507562512632 18192818200192 25015125025264 50030250050528 100060500101056 200121000202112