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212200334110100 = 22527349186835673
BaseRepresentation
bin110000001111111010111101…
…100010010010110110010100
31000211100011011010200101202102
4300033322331202102312110
5210303142241013010400
62031151253202501232
762460653045221130
oct6017727542226624
91024304133611672
10212200334110100
11616827246101a6
121b971a1a664818
13915353727c3cb
143a5879dc163c0
15197ec3e92e9d5
hexc0febd892d94

212200334110100 has 72 divisors (see below), whose sum is σ = 526407581383488. Its totient is φ = 72733558867200.

The previous prime is 212200334110031. The next prime is 212200334110103. The reversal of 212200334110100 is 1011433002212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200334110103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40974137 + ... + 45861536.

It is an arithmetic number, because the mean of its divisors is an integer number (7311216408104).

Almost surely, 2212200334110100 is an apocalyptic number.

212200334110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200334110100 is an abundant number, since it is smaller than the sum of its proper divisors (314207247273388).

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

212200334110100 is a wasteful number, since it uses less digits than its factorization.

212200334110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86839185 (or 86839178 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 212200334110100 its reverse (1011433002212), we get a palindrome (213211767112312).

The spelling of 212200334110100 in words is "two hundred twelve trillion, two hundred billion, three hundred thirty-four million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 3491 6982 13964 17455 24437 34910 48874 69820 87275 97748 122185 174550 244370 349100 488740 610925 1221850 2443700 86835673 173671346 347342692 434178365 607849711 868356730 1215699422 1736713460 2170891825 2431398844 3039248555 4341783650 6078497110 8683567300 12156994220 15196242775 30392485550 60784971100 303143334443 606286668886 1212573337772 1515716672215 2122003341101 3031433344430 4244006682202 6062866688860 7578583361075 8488013364404 10610016705505 15157166722150 21220033411010 30314333444300 42440066822020 53050083527525 106100167055050 212200334110100