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212444242340 = 2251121018271051
BaseRepresentation
bin1100010111011010101…
…0011110000110100100
3202022100121022200202212
43011312222132012210
511440041211223330
6241332345222552
721230365156631
oct3056652360644
9668317280685
10212444242340
1182108266700
123520b191a58
1317058515a95
14a3d4add188
1557d5be7295
hex3176a9e1a4

212444242340 has 144 divisors (see below), whose sum is σ = 496303319232. Its totient is φ = 76322400000.

The previous prime is 212444242321. The next prime is 212444242349. The reversal of 212444242340 is 43242444212.

212444242340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2124442423402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212444242297 and 212444242306.

It is not an unprimeable number, because it can be changed into a prime (212444242349) 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 47 ways as a sum of consecutive naturals, for example, 202134815 + ... + 202135865.

It is an arithmetic number, because the mean of its divisors is an integer number (3446550828).

Almost surely, 2212444242340 is an apocalyptic number.

212444242340 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 212444242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248151659616).

212444242340 is an abundant number, since it is smaller than the sum of its proper divisors (283859076892).

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

212444242340 is a wasteful number, since it uses less digits than its factorization.

212444242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 212444242340 its reverse (43242444212), we get a palindrome (255686686552).

The spelling of 212444242340 in words is "two hundred twelve billion, four hundred forty-four million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 827 1010 1051 1111 1210 1654 2020 2102 2222 2420 3308 4135 4204 4444 5255 5555 8270 9097 10510 11110 11561 12221 16540 18194 21020 22220 23122 24442 36388 45485 46244 48884 57805 61105 83527 90970 100067 106151 115610 122210 127171 167054 181940 200134 212302 231220 244420 254342 334108 400268 417635 424604 500335 508684 530755 635855 835270 869177 918797 1000670 1061510 1167661 1271710 1670540 1738354 1837594 2001340 2123020 2335322 2543420 3476708 3675188 4345885 4593985 4670644 5838305 8691770 9187970 9560947 10106767 11676610 12844271 17383540 18375940 19121894 20213534 23353220 25688542 38243788 40427068 47804735 50533835 51377084 64221355 87786877 95609470 101067670 105170417 128442710 175573754 191218940 202135340 210340834 256885420 351147508 420681668 438934385 525852085 877868770 965655647 1051704170 1755737540 1931311294 2103408340 3862622588 4828278235 9656556470 10622212117 19313112940 21244424234 42488848468 53111060585 106222121170 212444242340