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200101011222012 = 223431672322111721
BaseRepresentation
bin101101011111110110100101…
…101100010110110111111100
3222020111110200112001210122020
4231133312211230112313330
5202211423332333101022
61545325045134320140
760101551411453245
oct5537664554266774
9866443615053566
10200101011222012
11588383a923751a
121a538abb959050
1387865a1437634
14375ad250b3ccc
151820146e7535c
hexb5fda5b16dfc

200101011222012 has 48 divisors (see below), whose sum is σ = 480621395772672. Its totient is φ = 64759051647360.

The previous prime is 200101011221981. The next prime is 200101011222017. The reversal of 200101011222012 is 210222110101002.

200101011222012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200101011221982 and 200101011222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101011222017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1160969689 + ... + 1161142032.

It is an arithmetic number, because the mean of its divisors is an integer number (10012945745264).

Almost surely, 2200101011222012 is an apocalyptic number.

It is an amenable number.

200101011222012 is an abundant number, since it is smaller than the sum of its proper divisors (280520384550660).

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

200101011222012 is a wasteful number, since it uses less digits than its factorization.

200101011222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322111938 (or 2322111936 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200101011222012 its reverse (210222110101002), we get a palindrome (410323121323014).

The spelling of 200101011222012 in words is "two hundred trillion, one hundred one billion, eleven million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 43 86 129 167 172 258 334 501 516 668 1002 2004 7181 14362 21543 28724 43086 86172 2322111721 4644223442 6966335163 9288446884 13932670326 27865340652 99850804003 199701608006 299552412009 387792657407 399403216012 599104824018 775585314814 1163377972221 1198209648036 1551170629628 2326755944442 4653511888884 16675084268501 33350168537002 50025252805503 66700337074004 100050505611006 200101011222012