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212323111220 = 225113167464663
BaseRepresentation
bin1100010110111101110…
…0011001000100110100
3202022001011101121010002
43011233130121010310
511434314204024340
6241312341050432
721224364444653
oct3055734310464
9668034347102
10212323111220
1182055952040
12351966b6a18
13170393b406c
14a3c29ab19a
1557ca26b715
hex316f719134

212323111220 has 96 divisors (see below), whose sum is σ = 509598867456. Its totient is φ = 73602460800.

The previous prime is 212323111213. The next prime is 212323111303. The reversal of 212323111220 is 22111323212.

212323111220 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 2×2123231112202 (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 = 212323111192 and 212323111201.

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 31 ways as a sum of consecutive naturals, for example, 224609 + ... + 689271.

It is an arithmetic number, because the mean of its divisors is an integer number (5308321536).

Almost surely, 2212323111220 is an apocalyptic number.

212323111220 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 212323111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254799433728).

212323111220 is an abundant number, since it is smaller than the sum of its proper divisors (297275756236).

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

212323111220 is a wasteful number, since it uses less digits than its factorization.

212323111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464781 (or 464779 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 212323111220 its reverse (22111323212), we get a palindrome (234434434432).

The spelling of 212323111220 in words is "two hundred twelve billion, three hundred twenty-three million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 67 110 124 134 155 220 268 310 335 341 620 670 682 737 1340 1364 1474 1705 2077 2948 3410 3685 4154 6820 7370 8308 10385 14740 20770 22847 41540 45694 91388 114235 228470 456940 464663 929326 1858652 2323315 4646630 5111293 9293260 10222586 14404553 20445172 25556465 28809106 31132421 51112930 57618212 62264842 72022765 102225860 124529684 144045530 155662105 158450083 288091060 311324210 316900166 342456631 622648420 633800332 684913262 792250415 965105051 1369826524 1584500830 1712283155 1930210102 3169001660 3424566310 3860420204 4825525255 6849132620 9651050510 10616155561 19302101020 21232311122 42464622244 53080777805 106161555610 212323111220