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22211100201020 = 22523277361748193
BaseRepresentation
bin1010000110011011011001…
…01111001101000000111100
32220122100201202120200022112
411003031230233031000330
510402401313122413040
6115123345533033152
74451461524440033
oct503155457150074
986570652520275
1022211100201020
117093747026375
1225a87b06257b8
13c51661775a53
1456b04710371a
15287b65a6b365
hex14336cbcd03c

22211100201020 has 96 divisors (see below), whose sum is σ = 48861507719808. Its totient is φ = 8464964124672.

The previous prime is 22211100201007. The next prime is 22211100201047. The reversal of 22211100201020 is 2010200111222.

It is a junction number, because it is equal to n+sod(n) for n = 22211100200986 and 22211100201004.

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, 460854044 + ... + 460902236.

It is an arithmetic number, because the mean of its divisors is an integer number (508974038748).

Almost surely, 222211100201020 is an apocalyptic number.

22211100201020 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 22211100201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24430753859904).

22211100201020 is an abundant number, since it is smaller than the sum of its proper divisors (26650407518788).

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

22211100201020 is a wasteful number, since it uses less digits than its factorization.

22211100201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52119 (or 52117 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22211100201020 its reverse (2010200111222), we get a palindrome (24221300312242).

The spelling of 22211100201020 in words is "twenty-two trillion, two hundred eleven billion, one hundred million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 277 460 554 1108 1385 2770 3617 5540 6371 7234 12742 14468 18085 25484 31855 36170 48193 63710 72340 83191 96386 127420 166382 192772 240965 332764 415955 481930 831910 963860 1001909 1108439 1663820 2003818 2216878 4007636 4433756 5009545 5542195 10019090 11084390 13349461 20038180 22168780 23043907 26698922 46087814 53397844 66747305 92175628 115219535 133494610 174314081 230439070 266989220 307037603 348628162 460878140 614075206 697256324 871570405 1228150412 1535188015 1743140810 3070376030 3486281620 4009223863 6140752060 8018447726 16036895452 20046119315 40092238630 48285000437 80184477260 96570000874 193140001748 241425002185 482850004370 965700008740 1110555010051 2221110020102 4442220040204 5552775050255 11105550100510 22211100201020