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212201201100 = 223527101048191
BaseRepresentation
bin1100010110100000101…
…1010101110111001100
3202021201122222220212110
43011220023111313030
511434042001413400
6241252304104020
721221354306610
oct3055013256714
9667648886773
10212201201100
1181aa3056179
1235161905010
131701a06b8b5
14a3b0715340
1557be6d9e50
hex31682d5dcc

212201201100 has 72 divisors (see below), whose sum is σ = 701678645248. Its totient is φ = 48503131200.

The previous prime is 212201200987. The next prime is 212201201101. The reversal of 212201201100 is 1102102212.

212201201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212201201101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50521996 + ... + 50526195.

Almost surely, 2212201201100 is an apocalyptic number.

212201201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201201100 is an abundant number, since it is smaller than the sum of its proper divisors (489477444148).

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

212201201100 is a wasteful number, since it uses less digits than its factorization.

212201201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101048215 (or 101048208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212201201100 its reverse (1102102212), we get a palindrome (213303303312).

The spelling of 212201201100 in words is "two hundred twelve billion, two hundred one million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 101048191 202096382 303144573 404192764 505240955 606289146 707337337 1010481910 1212578292 1414674674 1515722865 2020963820 2122012011 2526204775 2829349348 3031445730 3536686685 4244024022 5052409550 6062891460 7073373370 7578614325 8488048044 10104819100 10610060055 14146746740 15157228650 17683433425 21220120110 30314457300 35366866850 42440240220 53050300275 70733733700 106100600550 212201201100