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21320033224344 = 23317971314112299
BaseRepresentation
bin1001101100011111101010…
…00000011100011010011000
32210111011201202212012100220
410312033311000130122120
510243301412001134334
6113202142115200040
74330215204215211
oct466176500343230
983434652765326
1021320033224344
11687a858a41188
122483b6bba6020
13bb861691957a
14539c7629a408
1526e8b28db449
hex1363f501c698

21320033224344 has 128 divisors (see below), whose sum is σ = 57452449824000. Its totient is φ = 6569149317120.

The previous prime is 21320033224291. The next prime is 21320033224349. The reversal of 21320033224344 is 44342233002312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320033224349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3128307 + ... + 7240605.

It is an arithmetic number, because the mean of its divisors is an integer number (448847264250).

Almost surely, 221320033224344 is an apocalyptic number.

21320033224344 is a gapful number since it is divisible by the number (24) 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 21320033224344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28726224912000).

21320033224344 is an abundant number, since it is smaller than the sum of its proper divisors (36132416599656).

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

21320033224344 is a wasteful number, since it uses less digits than its factorization.

21320033224344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112553 (or 4112549 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 21320033224344 its reverse (44342233002312), we get a palindrome (65662266226656).

The spelling of 21320033224344 in words is "twenty-one trillion, three hundred twenty billion, thirty-three million, two hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 97 102 131 136 194 204 262 291 388 393 408 524 582 776 786 1048 1164 1572 1649 2227 2328 3144 3298 4454 4947 6596 6681 8908 9894 12707 13192 13362 17816 19788 25414 26724 38121 39576 50828 53448 76242 101656 152484 216019 304968 432038 648057 864076 1296114 1728152 2592228 4112299 5184456 8224598 12336897 16449196 24673794 32898392 49347588 69909083 98695176 139818166 209727249 279636332 398893003 419454498 538711169 559272664 797786006 838908996 1077422338 1196679009 1595572012 1616133507 1677817992 2154844676 2393358018 3191144024 3232267014 4309689352 4786716036 6464534028 6781181051 9158089873 9573432072 12929068056 13562362102 18316179746 20343543153 27124724204 27474269619 36632359492 40687086306 52254983393 54249448408 54948539238 73264718984 81374172612 104509966786 109897078476 156764950179 162748345224 209019933572 219794156952 313529900358 418039867144 627059800716 888334717681 1254119601432 1776669435362 2665004153043 3553338870724 5330008306086 7106677741448 10660016612172 21320033224344