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212210212100220 = 2232511514211243239
BaseRepresentation
bin110000010000000100001010…
…010011110101100001111100
31000211101002122112212021210100
4300100010022103311201330
5210303323003244201340
62031200005310241100
762461452611601135
oct6020041223654174
91024332575767710
10212210212100220
11616869334703a4
121b9739167b6190
13915444c8bab89
143a59059a98c8c
15198011bc3b830
hexc1010a4f587c

212210212100220 has 144 divisors (see below), whose sum is σ = 644419211304960. Its totient is φ = 56526565296000.

The previous prime is 212210212100207. The next prime is 212210212100251. The reversal of 212210212100220 is 22001212012212.

It is a happy number.

212210212100220 is a `hidden beast` number, since 2 + 1 + 2 + 210 + 21 + 210 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212210212100193 and 212210212100202.

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 47 ways as a sum of consecutive naturals, for example, 872313361 + ... + 872556599.

It is an arithmetic number, because the mean of its divisors is an integer number (4475133411840).

Almost surely, 2212210212100220 is an apocalyptic number.

212210212100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210212100220 is an abundant number, since it is smaller than the sum of its proper divisors (432208999204740).

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

212210212100220 is a wasteful number, since it uses less digits than its factorization.

212210212100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248616 (or 248611 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212210212100220 its reverse (22001212012212), we get a palindrome (234211424112432).

The spelling of 212210212100220 in words is "two hundred twelve trillion, two hundred ten billion, two hundred twelve million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1151 2302 3453 4211 4604 5755 6906 8422 10359 11510 12633 13812 16844 17265 20718 21055 23020 25266 34530 37899 41436 42110 50532 51795 63165 69060 75798 84220 103590 126330 151596 189495 207180 243239 252660 378990 486478 729717 757980 972956 1216195 1459434 2189151 2432390 2918868 3648585 4378302 4846861 4864780 7297170 8756604 9693722 10945755 14540583 14594340 19387444 21891510 24234305 29081166 43621749 43783020 48468610 58162332 72702915 87243498 96937220 145405830 174486996 218108745 279968089 290811660 436217490 559936178 839904267 872434980 1024279429 1119872356 1399840445 1679808534 2048558858 2519712801 2799680890 3072838287 3359617068 4097117716 4199521335 5039425602 5121397145 5599361780 6145676574 8399042670 9218514861 10078851204 10242794290 12291353148 12598564005 15364191435 16798085340 18437029722 20485588580 25197128010 30728382870 36874059444 46092574305 50394256020 61456765740 92185148610 184370297220 1178945622779 2357891245558 3536836868337 4715782491116 5894728113895 7073673736674 10610510605011 11789456227790 14147347473348 17684184341685 21221021210022 23578912455580 35368368683370 42442042420044 53052553025055 70736737366740 106105106050110 212210212100220