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22111241020 = 225111276131291
BaseRepresentation
bin10100100101111011…
…101100001100111100
32010001222012102110121
4110211323230030330
5330240434203040
614054024344324
71411636306351
oct244573541474
963058172417
1022111241020
119417245710
1243510150a4
132114c0018b
1410da85a628
158962a3c4a
hex525eec33c

22111241020 has 96 divisors (see below), whose sum is σ = 51176595456. Its totient is φ = 7957958400.

The previous prime is 22111241017. The next prime is 22111241069. The reversal of 22111241020 is 2014211122.

It is a junction number, because it is equal to n+sod(n) for n = 22111240985 and 22111241003.

It is a congruent number.

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, 17126575 + ... + 17127865.

It is an arithmetic number, because the mean of its divisors is an integer number (533089536).

Almost surely, 222111241020 is an apocalyptic number.

22111241020 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 22111241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25588297728).

22111241020 is an abundant number, since it is smaller than the sum of its proper divisors (29065354436).

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

22111241020 is a wasteful number, since it uses less digits than its factorization.

22111241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22111241020 its reverse (2014211122), we get a palindrome (24125452142).

The spelling of 22111241020 in words is "twenty-two billion, one hundred eleven million, two hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 613 635 1226 1270 1291 1397 2452 2540 2582 2794 3065 5164 5588 6130 6455 6743 6985 12260 12910 13486 13970 14201 25820 26972 27940 28402 33715 56804 67430 71005 77851 134860 142010 155702 163957 284020 311404 327914 389255 655828 778510 791383 819785 856361 1557020 1582766 1639570 1712722 1803527 3165532 3279140 3425444 3607054 3956915 4281805 7214108 7913830 8563610 8705213 9017635 15827660 17127220 17410426 18035270 34820852 36070540 43526065 87052130 100505641 174104260 201011282 402022564 502528205 1005056410 1105562051 2010112820 2211124102 4422248204 5527810255 11055620510 22111241020