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2001201021222 = 2313193049442879
BaseRepresentation
bin11101000111110000111…
…000000100000100100110
321002022110010210001100120
4131013300320010010212
5230241424430134342
64131201123022410
7264403425005454
oct35076070040446
97068403701316
102001201021222
11701782894907
12283a1a20aa06
13116935325610
146cc041a79d4
15370c866aaec
hex1d1f0e04126

2001201021222 has 64 divisors (see below), whose sum is σ = 4538634240000. Its totient is φ = 583153406208.

The previous prime is 2001201021179. The next prime is 2001201021229. The reversal of 2001201021222 is 2221201021002.

It is a super-3 number, since 3×20012010212223 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001201021229) 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 31 ways as a sum of consecutive naturals, for example, 4297179 + ... + 4740057.

It is an arithmetic number, because the mean of its divisors is an integer number (70916160000).

Almost surely, 22001201021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001201021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269317120000).

2001201021222 is an abundant number, since it is smaller than the sum of its proper divisors (2537433218778).

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

2001201021222 is a wasteful number, since it uses less digits than its factorization.

2001201021222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445965.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2001201021222 its reverse (2221201021002), we get a palindrome (4222402042224).

The spelling of 2001201021222 in words is "two trillion, one billion, two hundred one million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 3049 6098 9147 18294 39637 57931 79274 115862 118911 173793 237822 347586 442879 753103 885758 1328637 1506206 2259309 2657274 4518618 5757427 8414701 11514854 16829402 17272281 25244103 34544562 50488206 109391113 218782226 328173339 656346678 1350338071 2700676142 4051014213 8102028426 17554394923 25656423349 35108789846 51312846698 52663184769 76969270047 105326369538 153938540094 333533503537 667067007074 1000600510611 2001201021222