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22021321300 = 225211142714029
BaseRepresentation
bin10100100000100100…
…101011001001010100
32002211201000000210121
4110200210223021110
5330044424240200
614041053201324
71406465066626
oct244044531124
962751000717
1022021321300
1193805096a0
124326a90244
1320cc3a8944
1410cc930c16
1588d440e1a
hex52092b254

22021321300 has 72 divisors (see below), whose sum is σ = 52170723360. Its totient is φ = 8001571200.

The previous prime is 22021321243. The next prime is 22021321313. The reversal of 22021321300 is 312312022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1562686 + ... + 1576714.

It is an arithmetic number, because the mean of its divisors is an integer number (724593380).

Almost surely, 222021321300 is an apocalyptic number.

22021321300 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 22021321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26085361680).

22021321300 is an abundant number, since it is smaller than the sum of its proper divisors (30149402060).

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

22021321300 is a wasteful number, since it uses less digits than its factorization.

22021321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15481 (or 15474 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22021321300 its reverse (312312022), we get a palindrome (22333633322).

The spelling of 22021321300 in words is "twenty-two billion, twenty-one million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1427 2854 5708 7135 14029 14270 15697 28058 28540 31394 35675 56116 62788 70145 71350 78485 140290 142700 154319 156970 280580 308638 313940 350725 392425 617276 701450 771595 784850 1402900 1543190 1569700 3086380 3857975 7715950 15431900 20019383 40038766 80077532 100096915 200193830 220213213 400387660 440426426 500484575 880852852 1000969150 1101066065 2001938300 2202132130 4404264260 5505330325 11010660650 22021321300