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212020211100 = 2235259107111949
BaseRepresentation
bin1100010101110101100…
…0111010110110011100
3202021021001102200021010
43011131120322312130
511433204133223400
6241222320535220
721214026026145
oct3053530726634
9667231380233
10212020211100
1181a0a977765
1235111181510
1316cbb70c219
14a394680acc
1557ad888450
hex315d63ad9c

212020211100 has 144 divisors (see below), whose sum is σ = 629678448000. Its totient is φ = 55060504320.

The previous prime is 212020211083. The next prime is 212020211141. The reversal of 212020211100 is 1112020212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1837926 + ... + 1949874.

It is an arithmetic number, because the mean of its divisors is an integer number (4372767000).

Almost surely, 2212020211100 is an apocalyptic number.

212020211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314839224000).

212020211100 is an abundant number, since it is smaller than the sum of its proper divisors (417658236900).

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

212020211100 is a wasteful number, since it uses less digits than its factorization.

212020211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112132 (or 112125 counting only the distinct ones).

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

Adding to 212020211100 its reverse (1112020212), we get a palindrome (213132231312).

The spelling of 212020211100 in words is "two hundred twelve billion, twenty million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 107 118 150 177 214 236 295 300 321 354 428 535 590 642 708 885 1070 1180 1284 1475 1605 1770 2140 2675 2950 3210 3540 4425 5350 5900 6313 6420 8025 8850 10700 12626 16050 17700 18939 25252 31565 32100 37878 63130 75756 94695 111949 126260 157825 189390 223898 315650 335847 378780 447796 473475 559745 631300 671694 946950 1119490 1343388 1679235 1893900 2238980 2798725 3358470 5597450 6604991 6716940 8396175 11194900 11978543 13209982 16792350 19814973 23957086 26419964 33024955 33584700 35935629 39629946 47914172 59892715 66049910 71871258 79259892 99074865 119785430 132099820 143742516 165124775 179678145 198149730 239570860 299463575 330249550 359356290 396299460 495374325 598927150 660499100 706734037 718712580 898390725 990748650 1197854300 1413468074 1796781450 1981497300 2120202111 2826936148 3533670185 3593562900 4240404222 7067340370 8480808444 10601010555 14134680740 17668350925 21202021110 35336701850 42404042220 53005052775 70673403700 106010105550 212020211100