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212210100222100 = 225212376599259967
BaseRepresentation
bin110000010000000100000011…
…101001000011100010010100
31000211101002100202100021212021
4300100010003221003202110
5210303322241124101400
62031155550232302524
762461450052624641
oct6020040351034224
91024332322307767
10212210100222100
11616868862a6742
121b9738a5241a44
1391544326789c6
143a59048c94dc8
151980111edc71a
hexc10103a43894

212210100222100 has 72 divisors (see below), whose sum is σ = 460939797964800. Its totient is φ = 84802240225920.

The previous prime is 212210100222067. The next prime is 212210100222137. The reversal of 212210100222100 is 1222001012212.

It is a happy number.

It is a super-3 number, since 3×2122101002221003 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 816166317 + ... + 816426283.

It is an arithmetic number, because the mean of its divisors is an integer number (6401941638400).

Almost surely, 2212210100222100 is an apocalyptic number.

212210100222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210100222100 is an abundant number, since it is smaller than the sum of its proper divisors (248729697742700).

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

212210100222100 is a wasteful number, since it uses less digits than its factorization.

212210100222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267817 (or 267810 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212210100222100 its reverse (1222001012212), we get a palindrome (213432101234312).

The spelling of 212210100222100 in words is "two hundred twelve trillion, two hundred ten billion, one hundred million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1237 2474 4948 6185 6599 12370 13198 24740 26396 30925 32995 61850 65990 123700 131980 164975 259967 329950 519934 659900 1039868 1299835 2599670 5199340 6499175 8162963 12998350 16325926 25996700 32651852 40814815 81629630 163259260 204074075 321579179 408148150 643158358 816296300 1286316716 1607895895 1715522233 3215791790 3431044466 6431583580 6862088932 8039479475 8577611165 16078958950 17155222330 32157917900 34310444660 42888055825 85776111650 171552223300 2122101002221 4244202004442 8488404008884 10610505011105 21221010022210 42442020044420 53052525055525 106105050111050 212210100222100