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212100011100 = 223252713319249
BaseRepresentation
bin1100010110001000100…
…1010101010001011100
3202021110121120221021200
43011202021111101130
511433340100323400
6241234251155500
721216015230205
oct3054211252134
9667417527250
10212100011100
1181a50a2167a
1235133a45b90
13170020cc563
14a3a10d45ac
1557b589cb00
hex316225545c

212100011100 has 108 divisors (see below), whose sum is σ = 674179506000. Its totient is φ = 55763366400.

The previous prime is 212100011059. The next prime is 212100011107. The reversal of 212100011100 is 1110001212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100011107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1595725 + ... + 1723524.

Almost surely, 2212100011100 is an apocalyptic number.

212100011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100011100 is an abundant number, since it is smaller than the sum of its proper divisors (462079494900).

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

212100011100 is a wasteful number, since it uses less digits than its factorization.

212100011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319340 (or 3319330 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212100011100 its reverse (1110001212), we get a palindrome (213210012312).

The spelling of 212100011100 in words is "two hundred twelve billion, one hundred million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 71 75 90 100 142 150 180 213 225 284 300 355 426 450 639 710 852 900 1065 1278 1420 1775 2130 2556 3195 3550 4260 5325 6390 7100 10650 12780 15975 21300 31950 63900 3319249 6638498 9957747 13276996 16596245 19915494 29873241 33192490 39830988 49788735 59746482 66384980 82981225 99577470 119492964 149366205 165962450 199154940 235666679 248943675 298732410 331924900 471333358 497887350 597464820 707000037 746831025 942666716 995774700 1178333395 1414000074 1493662050 2121000111 2356666790 2828000148 2987324100 3535000185 4242000222 4713333580 5891666975 7070000370 8484000444 10605000555 11783333950 14140000740 17675000925 21210001110 23566667900 35350001850 42420002220 53025002775 70700003700 106050005550 212100011100