Search a number
-
+
2112212211210 = 23251712791079383
BaseRepresentation
bin11110101111001001101…
…010001001011000001010
321110220222200220210121200
4132233021222021120022
5234101302311224320
64254200434045030
7305413405363623
oct36571152113012
97426880823550
102112212211210
11744869800a22
122a143b719776
13124247179a9a
14743357aca4a
1539e24405290
hex1ebc9a8960a

2112212211210 has 96 divisors (see below), whose sum is σ = 5819347722240. Its totient is φ = 529708875264.

The previous prime is 2112212211139. The next prime is 2112212211233. The reversal of 2112212211210 is 121122122112.

2112212211210 is a `hidden beast` number, since 2 + 11 + 221 + 221 + 1 + 210 = 666.

It is a super-2 number, since 2×21122122112102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417179 + ... + 2496561.

It is an arithmetic number, because the mean of its divisors is an integer number (60618205440).

Almost surely, 22112212211210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112212211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909673861120).

2112212211210 is an abundant number, since it is smaller than the sum of its proper divisors (3707135511030).

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

2112212211210 is a wasteful number, since it uses less digits than its factorization.

2112212211210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080692 (or 1080689 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2112212211210 its reverse (121122122112), we get a palindrome (2233334333322).

The spelling of 2112212211210 in words is "two trillion, one hundred twelve billion, two hundred twelve million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1279 1530 2558 3837 6395 7674 11511 12790 19185 21743 23022 38370 43486 57555 65229 108715 115110 130458 195687 217430 326145 391374 652290 978435 1079383 1956870 2158766 3238149 5396915 6476298 9714447 10793830 16190745 18349511 19428894 32381490 36699022 48572235 55048533 91747555 97144470 110097066 165145599 183495110 275242665 330291198 550485330 825727995 1380530857 1651455990 2761061714 4141592571 6902654285 8283185142 12424777713 13805308570 20707962855 23469024569 24849555426 41415925710 46938049138 62123888565 70407073707 117345122845 124247777130 140814147414 211221221121 234690245690 352035368535 422442442242 704070737070 1056106105605 2112212211210