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212223321112 = 231113190720297
BaseRepresentation
bin1100010110100101111…
…1101110010000011000
3202021210012121201211011
43011221133232100120
511434113132233422
6241254414143304
721222043315465
oct3055137562030
9667705551734
10212223321112
1182004594280
12351691b1b34
1317021814c6a
14a3b363266c
1557c1609077
hex31697ee418

212223321112 has 64 divisors (see below), whose sum is σ = 437910675840. Its totient is φ = 95618515200.

The previous prime is 212223321097. The next prime is 212223321127. The reversal of 212223321112 is 211123322212.

212223321112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212223321097) and next prime (212223321127).

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 10445748 + ... + 10466044.

It is an arithmetic number, because the mean of its divisors is an integer number (6842354310).

Almost surely, 2212223321112 is an apocalyptic number.

212223321112 is a gapful number since it is divisible by the number (22) 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 212223321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218955337920).

212223321112 is an abundant number, since it is smaller than the sum of its proper divisors (225687354728).

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

212223321112 is a wasteful number, since it uses less digits than its factorization.

212223321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21352 (or 21348 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

Adding to 212223321112 its reverse (211123322212), we get a palindrome (423346643324).

It can be divided in two parts, 212223 and 321112, that added together give a palindrome (533335).

The spelling of 212223321112 in words is "two hundred twelve billion, two hundred twenty-three million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 907 1048 1441 1814 2882 3628 5764 7256 9977 11528 19954 20297 39908 40594 79816 81188 118817 162376 223267 237634 446534 475268 893068 950536 1306987 1786136 2613974 2658907 5227948 5317814 10455896 10635628 18409379 21271256 29247977 36818758 58495954 73637516 116991908 147275032 202503169 233983816 405006338 810012676 1620025352 2411628649 4823257298 9646514596 19293029192 26527915139 53055830278 106111660556 212223321112