Search a number
-
+
213112323403320 = 233511161448729851
BaseRepresentation
bin110000011101001100010100…
…010101010110111000111000
31000221120100011020102200101210
4300131030110111112320320
5210413113014242401240
62033130241054243120
762613600020263245
oct6035142425267070
91027510136380353
10213112323403320
11619a4479809490
121ba9a719ab64a0
1391bb5378c1853
143a8a9976305cc
1519988197b4780
hexc1d314556e38

213112323403320 has 64 divisors (see below), whose sum is σ = 697458512960640. Its totient is φ = 51663593552000.

The previous prime is 213112323403307. The next prime is 213112323403333. The reversal of 213112323403320 is 23304323211312.

It is an interprime number because it is at equal distance from previous prime (213112323403307) and next prime (213112323403333).

It is a super-2 number, since 2×2131123234033202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80724363606 + ... + 80724366245.

It is an arithmetic number, because the mean of its divisors is an integer number (10897789265010).

Almost surely, 2213112323403320 is an apocalyptic number.

213112323403320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213112323403320 is an abundant number, since it is smaller than the sum of its proper divisors (484346189557320).

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

213112323403320 is a wasteful number, since it uses less digits than its factorization.

213112323403320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161448729876 (or 161448729872 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 213112323403320 its reverse (23304323211312), we get a palindrome (236416646614632).

The spelling of 213112323403320 in words is "two hundred thirteen trillion, one hundred twelve billion, three hundred twenty-three million, four hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 161448729851 322897459702 484346189553 645794919404 807243649255 968692379106 1291589838808 1614487298510 1775936028361 1937384758212 2421730947765 3228974597020 3551872056722 3874769516424 4843461895530 5327808085083 6457949194040 7103744113444 8879680141805 9686923791060 10655616170166 14207488226888 17759360283610 19373847582120 21311232340332 26639040425415 35518720567220 42622464680664 53278080850830 71037441134440 106556161701660 213112323403320