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2001211211010 = 2351117421847321
BaseRepresentation
bin11101000111110001011…
…110111011110100000010
321002022110211221202010010
4131013301132323310002
5230241440032223020
64131202125245350
7264403610425344
oct35076136736402
97068424852103
102001211211010
11701788614620
12283a21703856
1311693748268b
146cc0569b294
15370c94cede0
hex1d1f17bbd02

2001211211010 has 128 divisors (see below), whose sum is σ = 5560926835968. Its totient is φ = 455519232000.

The previous prime is 2001211211009. The next prime is 2001211211053. The reversal of 2001211211010 is 101121121002.

It is a super-2 number, since 2×20012112110102 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1938150 + ... + 2785470.

It is an arithmetic number, because the mean of its divisors is an integer number (43444740906).

Almost surely, 22001211211010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001211211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780463417984).

2001211211010 is an abundant number, since it is smaller than the sum of its proper divisors (3559715624958).

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

2001211211010 is a wasteful number, since it uses less digits than its factorization.

2001211211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847780.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2001211211010 its reverse (101121121002), we get a palindrome (2102332332012).

The spelling of 2001211211010 in words is "two trillion, one billion, two hundred eleven million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 421 510 561 842 935 1122 1263 1870 2105 2526 2805 4210 4631 5610 6315 7157 9262 12630 13893 14314 21471 23155 27786 35785 42942 46310 69465 71570 78727 107355 138930 157454 214710 236181 393635 472362 787270 847321 1180905 1694642 2361810 2541963 4236605 5083926 8473210 9320531 12709815 14404457 18641062 25419630 27961593 28808914 43213371 46602655 55923186 72022285 86426742 93205310 139807965 144044570 158449027 216066855 279615930 316898054 356722141 432133710 475347081 713444282 792245135 950694162 1070166423 1584490270 1783610705 2140332846 2376735405 3567221410 3923943551 4753470810 5350832115 6064276397 7847887102 10701664230 11771830653 12128552794 18192829191 19619717755 23543661306 30321381985 36385658382 39239435510 58859153265 60642763970 66707040367 90964145955 117718306530 133414080734 181928291910 200121121101 333535201835 400242242202 667070403670 1000605605505 2001211211010