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21344420020 = 225711136710139
BaseRepresentation
bin10011111000001110…
…100000000010110100
32001002112021212210211
4103320032200002310
5322203132420040
613445552555204
71353635401540
oct237016400264
961075255724
1021344420020
119063406750
124178252b04
132022096241
141066a8aa20
1584dcd28ea
hex4f83a00b4

21344420020 has 96 divisors (see below), whose sum is σ = 55929968640. Its totient is φ = 6647283840.

The previous prime is 21344420017. The next prime is 21344420039. The reversal of 21344420020 is 2002444312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21344419973 and 21344420000.

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, 2100111 + ... + 2110249.

It is an arithmetic number, because the mean of its divisors is an integer number (582603840).

Almost surely, 221344420020 is an apocalyptic number.

21344420020 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 21344420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27964984320).

21344420020 is an abundant number, since it is smaller than the sum of its proper divisors (34585548620).

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

21344420020 is a wasteful number, since it uses less digits than its factorization.

21344420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11533 (or 11531 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 21344420020 its reverse (2002444312), we get a palindrome (23346864332).

The spelling of 21344420020 in words is "twenty-one billion, three hundred forty-four million, four hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1367 1540 2734 5468 6835 9569 10139 13670 15037 19138 20278 27340 30074 38276 40556 47845 50695 60148 70973 75185 95690 101390 105259 111529 141946 150370 191380 202780 210518 223058 283892 300740 354865 421036 446116 526295 557645 709730 780703 1052590 1115290 1419460 1561406 2105180 2230580 3122812 3903515 7807030 13860013 15614060 27720026 55440052 69300065 97020091 138600130 152460143 194040182 277200260 304920286 388080364 485100455 609840572 762300715 970200910 1067221001 1524601430 1940401820 2134442002 3049202860 4268884004 5336105005 10672210010 21344420020