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212211210001110 = 235198917324180059
BaseRepresentation
bin110000010000000101000101…
…110010100001101011010110
31000211101012020002120220110120
4300100011011302201223112
5210303332024230013420
62031200252314532410
762461516416610155
oct6020050562415326
91024335202526416
10212211210001110
11616872a5790081
121b973b54a37106
13915457b571788
143a5911241b59c
151980179655d40
hexc10145ca1ad6

212211210001110 has 128 divisors (see below), whose sum is σ = 545270025024000. Its totient is φ = 52702467535872.

The previous prime is 212211210001093. The next prime is 212211210001111. The reversal of 212211210001110 is 11100012112212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212211210001110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211210001111) 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 63 ways as a sum of consecutive naturals, for example, 3313740 + ... + 20866319.

It is an arithmetic number, because the mean of its divisors is an integer number (4259922070500).

Almost surely, 2212211210001110 is an apocalyptic number.

212211210001110 is an abundant number, since it is smaller than the sum of its proper divisors (333058815022890).

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

212211210001110 is a wasteful number, since it uses less digits than its factorization.

212211210001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24180350.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212211210001110 its reverse (11100012112212), we get a palindrome (223311222113322).

The spelling of 212211210001110 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred ten million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 89 95 114 173 178 190 267 285 346 445 519 534 570 865 890 1038 1335 1691 1730 2595 2670 3287 3382 5073 5190 6574 8455 9861 10146 15397 16435 16910 19722 25365 30794 32870 46191 49305 50730 76985 92382 98610 153970 230955 292543 461910 585086 877629 1462715 1755258 2925430 4388145 8776290 24180059 48360118 72540177 120900295 145080354 241800590 362700885 459421121 725401770 918842242 1378263363 2152025251 2297105605 2756526726 4183150207 4304050502 4594211210 6456075753 6891316815 8366300414 10760126255 12549450621 12912151506 13782633630 20915751035 21520252510 25098901242 32280378765 40888479769 41831502070 62747253105 64560757530 79479853933 81776959538 122665439307 125494506210 158959707866 204442398845 238439561799 245330878614 372300368423 397399269665 408884797690 476879123598 613327196535 744600736846 794798539330 1116901105269 1192197808995 1226654393070 1861501842115 2233802210538 2384395617990 3723003684230 5584505526345 7073707000037 11169011052690 14147414000074 21221121000111 35368535000185 42442242000222 70737070000370 106105605000555 212211210001110