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21342011340 = 22351343962327
BaseRepresentation
bin10011111000000101…
…010011111111001100
32001002100202111201110
4103320011103333030
5322202023330330
613445425212020
71353606050256
oct237005237714
961070674643
1021342011340
119062011001
124177491010
132021731aa0
141066620cd6
1584d9a8db0
hex4f8153fcc

21342011340 has 96 divisors (see below), whose sum is σ = 64502000640. Its totient is φ = 5241367296.

The previous prime is 21342011333. The next prime is 21342011357. The reversal of 21342011340 is 4311024312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311257 + ... + 373583.

It is an arithmetic number, because the mean of its divisors is an integer number (671895840).

Almost surely, 221342011340 is an apocalyptic number.

21342011340 is a gapful number since it is divisible by the number (20) 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 21342011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32251000320).

21342011340 is an abundant number, since it is smaller than the sum of its proper divisors (43159989300).

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

21342011340 is a wasteful number, since it uses less digits than its factorization.

21342011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62791 (or 62789 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21342011340 its reverse (4311024312), we get a palindrome (25653035652).

The spelling of 21342011340 in words is "twenty-one billion, three hundred forty-two million, eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 439 780 878 1317 1756 2195 2634 4390 5268 5707 6585 8780 11414 13170 17121 22828 26340 28535 34242 57070 62327 68484 85605 114140 124654 171210 186981 249308 311635 342420 373962 623270 747924 810251 934905 1246540 1620502 1869810 2430753 3241004 3739620 4051255 4861506 8102510 9723012 12153765 16205020 24307530 27361553 48615060 54723106 82084659 109446212 136807765 164169318 273615530 328338636 355700189 410423295 547231060 711400378 820846590 1067100567 1422800756 1641693180 1778500945 2134201134 3557001890 4268402268 5335502835 7114003780 10671005670 21342011340