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2201302000212 = 2237533491416769
BaseRepresentation
bin100000000010000111110…
…100101110001001010100
321210102221112001222222120
4200002013310232021110
5242031231303001322
64403133021255540
7315016213163040
oct40020764561124
97712845058876
102201302000212
11779626656017
122b67637045b0
1312c77453ba73
1478787853020
153c3da8d9a5c
hex20087d2e254

2201302000212 has 96 divisors (see below), whose sum is σ = 5998037472000. Its totient is φ = 615308009472.

The previous prime is 2201302000193. The next prime is 2201302000223. The reversal of 2201302000212 is 2120002031022.

It is a happy number.

It is a super-2 number, since 2×22013020002122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2201302000191 and 2201302000200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845364 + ... + 2262132.

It is an arithmetic number, because the mean of its divisors is an integer number (62479557000).

Almost surely, 22201302000212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201302000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999018736000).

2201302000212 is an abundant number, since it is smaller than the sum of its proper divisors (3796735471788).

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

2201302000212 is a wasteful number, since it uses less digits than its factorization.

2201302000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417185 (or 1417183 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2201302000212 its reverse (2120002031022), we get a palindrome (4321304031234).

The spelling of 2201302000212 in words is "two trillion, two hundred one billion, three hundred two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 349 371 636 698 742 1047 1113 1396 1484 2094 2226 2443 4188 4452 4886 7329 9772 14658 18497 29316 36994 55491 73988 110982 129479 221964 258958 388437 517916 776874 1416769 1553748 2833538 4250307 5667076 8500614 9917383 17001228 19834766 29752149 39669532 59504298 75088757 119008596 150177514 225266271 300355028 450532542 494452381 525621299 901065084 988904762 1051242598 1483357143 1576863897 1977809524 2102485196 2966714286 3153727794 3461166667 5933428572 6307455588 6922333334 10383500001 13844666668 20767000002 26205976193 41534000004 52411952386 78617928579 104823904772 157235857158 183441833351 314471714316 366883666702 550325500053 733767333404 1100651000106 2201302000212