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212103320 = 235112133371
BaseRepresentation
bin11001010010001…
…11000010011000
3112210002222001112
430221013002120
5413244301240
633014035452
75153564012
oct1451070230
9483088045
10212103320
11a97aa400
125b048b88
1334c34330
14202531b2
151394a665
hexca47098

212103320 has 96 divisors (see below), whose sum is σ = 565079760. Its totient is φ = 71174400.

The previous prime is 212103317. The next prime is 212103329. The reversal of 212103320 is 23301212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212103295 and 212103304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212103329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61235 + ... + 64605.

Almost surely, 2212103320 is an apocalyptic number.

212103320 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 212103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282539880).

212103320 is an abundant number, since it is smaller than the sum of its proper divisors (352976440).

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

212103320 is a wasteful number, since it uses less digits than its factorization.

212103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 212103320 is about 14563.7673697433. The cubic root of 212103320 is about 596.3700463106.

Adding to 212103320 its reverse (23301212), we get a palindrome (235404532).

The spelling of 212103320 in words is "two hundred twelve million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 220 242 260 286 440 484 520 572 605 715 968 1144 1210 1430 1573 2420 2860 3146 3371 4840 5720 6292 6742 7865 12584 13484 15730 16855 26968 31460 33710 37081 43823 62920 67420 74162 87646 134840 148324 175292 185405 219115 296648 350584 370810 407891 438230 482053 741620 815782 876460 964106 1483240 1631564 1752920 1928212 2039455 2410265 3263128 3856424 4078910 4820530 5302583 8157820 9641060 10605166 16315640 19282120 21210332 26512915 42420664 53025830 106051660 212103320