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213224123340030 = 235111767567281569
BaseRepresentation
bin110000011110110100011100…
…001000010001010011111110
31000221222000201202201220202110
4300132310130020101103332
5210421431001033340110
62033253450543034450
762624635356125505
oct6036643410212376
91027860652656673
10213224123340030
1161a3792a97a6a0
121bab831b59ba26
1391c8c43c88a5a
143a921618b183c
15199b6ae901a20
hexc1ed1c2114fe

213224123340030 has 128 divisors (see below), whose sum is σ = 599920682411520. Its totient is φ = 47923946864640.

The previous prime is 213224123340001. The next prime is 213224123340043. The reversal of 213224123340030 is 30043321422312.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213224123340030.

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 63 ways as a sum of consecutive naturals, for example, 283264915 + ... + 284016654.

It is an arithmetic number, because the mean of its divisors is an integer number (4686880331340).

Almost surely, 2213224123340030 is an apocalyptic number.

213224123340030 is an abundant number, since it is smaller than the sum of its proper divisors (386696559071490).

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

213224123340030 is a wasteful number, since it uses less digits than its factorization.

213224123340030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567281674.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 213224123340030 its reverse (30043321422312), we get a palindrome (243267444762342).

The spelling of 213224123340030 in words is "two hundred thirteen trillion, two hundred twenty-four billion, one hundred twenty-three million, three hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 67 85 102 110 134 165 170 187 201 255 330 335 374 402 510 561 670 737 935 1005 1122 1139 1474 1870 2010 2211 2278 2805 3417 3685 4422 5610 5695 6834 7370 11055 11390 12529 17085 22110 25058 34170 37587 62645 75174 125290 187935 375870 567281569 1134563138 1701844707 2836407845 3403689414 5672815690 6240097259 8509223535 9643786673 12480194518 17018447070 18720291777 19287573346 28931360019 31200486295 37440583554 38007865123 48218933365 57862720038 62400972590 76015730246 93601458885 96437866730 106081653403 114023595369 144656800095 187202917770 190039325615 212163306806 228047190738 289313600190 318244960209 380078651230 418086516353 530408267015 570117976845 636489920418 646133707091 836173032706 1060816534030 1140235953690 1254259549059 1292267414182 1591224801045 1938401121273 2090432581765 2508519098118 3182449602090 3230668535455 3876802242546 4180865163530 6271297745295 6461337070910 7107470778001 9692005606365 12542595490590 14214941556002 19384011212730 21322412334003 35537353890005 42644824668006 71074707780010 106612061670015 213224123340030