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212201011100 = 225213612675927
BaseRepresentation
bin1100010110100000101…
…0100111011110011100
3202021201122122021020102
43011220022213132130
511434041424323400
6241252300040232
721221352555641
oct3055012473634
9667648567212
10212201011100
1181aa2a36451
1235161833078
131701a003280
14a3b06a5dc8
1557be69d9d5
hex31682a779c

212201011100 has 72 divisors (see below), whose sum is σ = 504027094368. Its totient is φ = 77066668800.

The previous prime is 212201011007. The next prime is 212201011151. The reversal of 212201011100 is 1110102212.

212201011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122010111002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1258664 + ... + 1417263.

Almost surely, 2212201011100 is an apocalyptic number.

212201011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201011100 is an abundant number, since it is smaller than the sum of its proper divisors (291826083268).

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

212201011100 is a wasteful number, since it uses less digits than its factorization.

212201011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676015 (or 2676008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212201011100 its reverse (1110102212), we get a palindrome (213311113312).

The spelling of 212201011100 in words is "two hundred twelve billion, two hundred one million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 61 65 100 122 130 244 260 305 325 610 650 793 1220 1300 1525 1586 3050 3172 3965 6100 7930 15860 19825 39650 79300 2675927 5351854 10703708 13379635 26759270 34787051 53518540 66898175 69574102 133796350 139148204 163231547 173935255 267592700 326463094 347870510 652926188 695741020 816157735 869676275 1632315470 1739352550 2122010111 3264630940 3478705100 4080788675 4244020222 8161577350 8488040444 10610050555 16323154700 21220101110 42440202220 53050252775 106100505550 212201011100