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212112312220 = 22561635327367
BaseRepresentation
bin1100010110001011100…
…0010000011110011100
3202021111110201220020201
43011202320100132130
511433401222442340
6241235410553244
721216224622424
oct3054270203634
9667443656221
10212112312220
1181a57963696
1235137b98824
1317004818623
14a3a29b7484
1557b69cc79a
hex3162e1079c

212112312220 has 48 divisors (see below), whose sum is σ = 452825892288. Its totient is φ = 83437839360.

The previous prime is 212112312197. The next prime is 212112312221. The reversal of 212112312220 is 22213211212.

212112312220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121123122202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112312221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7736977 + ... + 7764343.

It is an arithmetic number, because the mean of its divisors is an integer number (9433872756).

Almost surely, 2212112312220 is an apocalyptic number.

212112312220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112312220 is an abundant number, since it is smaller than the sum of its proper divisors (240713580068).

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

212112312220 is a wasteful number, since it uses less digits than its factorization.

212112312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33790 (or 33788 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 212112312220 its reverse (22213211212), we get a palindrome (234325523432).

The spelling of 212112312220 in words is "two hundred twelve billion, one hundred twelve million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 6353 12706 25412 27367 31765 54734 63530 109468 127060 136835 273670 387533 547340 775066 1550132 1669387 1937665 3338774 3875330 6677548 7750660 8346935 16693870 33387740 173862551 347725102 695450204 869312755 1738625510 3477251020 10605615611 21211231222 42422462444 53028078055 106056156110 212112312220