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21313200010320 = 2433530829320063
BaseRepresentation
bin1001101100010010111011…
…01101110011010001010000
32210110112002112221221221000
410312021131231303101100
510243143413200312240
6113155052055502000
74326553651650351
oct466113555632120
983415075857830
1021313200010320
116877971854369
122482783687900
13bb7a9803ba6a
145397c8957d28
1526e612a6a430
hex13625db73450

21313200010320 has 160 divisors (see below), whose sum is σ = 73414744012800. Its totient is φ = 5683317889536.

The previous prime is 21313200010241. The next prime is 21313200010343. The reversal of 21313200010320 is 2301000231312.

21313200010320 is a `hidden beast` number, since 2 + 1 + 313 + 20 + 0 + 0 + 10 + 320 = 666.

21313200010320 is digitally balanced in base 5, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 21313200010293 and 21313200010302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66430609 + ... + 66750671.

It is an arithmetic number, because the mean of its divisors is an integer number (458842150080).

Almost surely, 221313200010320 is an apocalyptic number.

21313200010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21313200010320 is an abundant number, since it is smaller than the sum of its proper divisors (52101544002480).

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

21313200010320 is a wasteful number, since it uses less digits than its factorization.

21313200010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350914 (or 350902 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21313200010320 its reverse (2301000231312), we get a palindrome (23614200241632).

The spelling of 21313200010320 in words is "twenty-one trillion, three hundred thirteen billion, two hundred million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 30829 61658 92487 123316 154145 184974 246632 277461 308290 320063 369948 462435 493264 554922 616580 640126 739896 832383 924870 960189 1109844 1233160 1280252 1387305 1479792 1600315 1664766 1849740 1920378 2219688 2466320 2560504 2774610 2880567 3200630 3329532 3699480 3840756 4161915 4439376 4800945 5121008 5549220 5761134 6401260 6659064 7398960 7681512 8323830 8641701 9601890 11098440 11522268 12802520 13318128 14402835 15363024 16647660 17283402 19203780 22196880 23044536 25605040 28805670 33295320 34566804 38407560 43208505 46089072 57611340 66590640 69133608 76815120 86417010 115222680 138267216 172834020 230445360 345668040 691336080 9867222227 19734444454 29601666681 39468888908 49336111135 59203333362 78937777816 88805000043 98672222270 118406666724 148008333405 157875555632 177610000086 197344444540 236813333448 266415000129 296016666810 355220000172 394688889080 444025000215 473626666896 532830000258 592033333620 710440000344 789377778160 888050000430 1065660000516 1184066667240 1332075000645 1420880000688 1776100000860 2131320001032 2368133334480 2664150001290 3552200001720 4262640002064 5328300002580 7104400003440 10656600005160 21313200010320