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213102223320 = 23357253693123
BaseRepresentation
bin1100011001110111100…
…0011101111111011000
3202101001110102120222210
43012131320131333120
511442413132121240
6241521532115120
721252605003550
oct3063570357730
9671043376883
10213102223320
1182415716538
1235373605aa0
131713193263c
14a45825a160
155823869780
hex319de1dfd8

213102223320 has 64 divisors (see below), whose sum is σ = 730636197120. Its totient is φ = 48709079424.

The previous prime is 213102223309. The next prime is 213102223363. The reversal of 213102223320 is 23322201312.

It is a happy number.

213102223320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126845722 + ... + 126847401.

It is an arithmetic number, because the mean of its divisors is an integer number (11416190580).

Almost surely, 2213102223320 is an apocalyptic number.

213102223320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213102223320 is an abundant number, since it is smaller than the sum of its proper divisors (517533973800).

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

213102223320 is a wasteful number, since it uses less digits than its factorization.

213102223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253693144 (or 253693140 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213102223320 its reverse (23322201312), we get a palindrome (236424424632).

The spelling of 213102223320 in words is "two hundred thirteen billion, one hundred two million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 253693123 507386246 761079369 1014772492 1268465615 1522158738 1775851861 2029544984 2536931230 3044317476 3551703722 3805396845 5073862460 5327555583 6088634952 7103407444 7610793690 8879259305 10147724920 10655111166 14206814888 15221587380 17758518610 21310222332 26637777915 30443174760 35517037220 42620444664 53275555830 71034074440 106551111660 213102223320