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22012121020 = 22523313494423
BaseRepresentation
bin10100100000000001…
…100100111110111100
32002211001200121101111
4110200001210332330
5330040100333040
614040124051404
71406323640641
oct244001447674
962731617344
1022012121020
1193762a535a
124323993b64
1320ca5070a6
1410cb617dc8
1588c724dea
hex520064fbc

22012121020 has 96 divisors (see below), whose sum is σ = 49945190400. Its totient is φ = 8125159680.

The previous prime is 22012121017. The next prime is 22012121029. The reversal of 22012121020 is 2012121022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012121029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4974529 + ... + 4978951.

It is an arithmetic number, because the mean of its divisors is an integer number (520262400).

Almost surely, 222012121020 is an apocalyptic number.

22012121020 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 22012121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24972595200).

22012121020 is an abundant number, since it is smaller than the sum of its proper divisors (27933069380).

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

22012121020 is a wasteful number, since it uses less digits than its factorization.

22012121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22012121020 its reverse (2012121022), we get a palindrome (24024242042).

The spelling of 22012121020 in words is "twenty-two billion, twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 349 460 620 698 713 1396 1426 1745 2852 3490 3565 4423 6980 7130 8027 8846 10819 14260 16054 17692 21638 22115 32108 40135 43276 44230 54095 80270 88460 101729 108190 137113 160540 203458 216380 248837 274226 406916 497674 508645 548452 685565 995348 1017290 1244185 1371130 1543627 2034580 2488370 2742260 3087254 3153599 4976740 6174508 6307198 7718135 12614396 15436270 15767995 30872540 31535990 35503421 47852437 63071980 71006842 95704874 142013684 177517105 191409748 239262185 355034210 478524370 710068420 957048740 1100606051 2201212102 4402424204 5503030255 11006060510 22012121020