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212331021320 = 23511701688403
BaseRepresentation
bin1100010110111111101…
…0100100010000001000
3202022001201021110201202
43011233322210100020
511434323220140240
6241313222403332
721224521621325
oct3055772442010
9668051243652
10212331021320
118205a365010
1235199290548
131703ac235b2
14a3c3a69b4c
1557cacd0315
hex316fea4408

212331021320 has 64 divisors (see below), whose sum is σ = 521920376640. Its totient is φ = 77101024000.

The previous prime is 212331021319. The next prime is 212331021337. The reversal of 212331021320 is 23120133212.

It is a super-2 number, since 2×2123310213202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212331021292 and 212331021301.

It is an unprimeable number.

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, 35762 + ... + 652641.

It is an arithmetic number, because the mean of its divisors is an integer number (8155005885).

Almost surely, 2212331021320 is an apocalyptic number.

212331021320 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 212331021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260960188320).

212331021320 is an abundant number, since it is smaller than the sum of its proper divisors (309589355320).

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

212331021320 is a wasteful number, since it uses less digits than its factorization.

212331021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689126 (or 689122 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 212331021320 its reverse (23120133212), we get a palindrome (235451154532).

The spelling of 212331021320 in words is "two hundred twelve billion, three hundred thirty-one million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 701 1402 2804 3505 5608 7010 7711 14020 15422 28040 30844 38555 61688 77110 154220 308440 688403 1376806 2753612 3442015 5507224 6884030 7572433 13768060 15144866 27536120 30289732 37862165 60579464 75724330 151448660 302897320 482570503 965141006 1930282012 2412852515 3860564024 4825705030 5308275533 9651410060 10616551066 19302820120 21233102132 26541377665 42466204264 53082755330 106165510660 212331021320