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2022010221020 = 2251929764324007
BaseRepresentation
bin11101011011001001001…
…100110111000111011100
321011022011100221221001012
4131123021030313013130
5231112034104033040
64144522040234352
7266041204203446
oct35331114670734
97138140857035
102022010221020
1170a591068699
12287a6716b9b8
131188a05546aa
146dc19b31496
15378e5479865
hex1d6c93371dc

2022010221020 has 96 divisors (see below), whose sum is σ = 4624632230400. Its totient is φ = 739685931264.

The previous prime is 2022010220977. The next prime is 2022010221029. The reversal of 2022010221020 is 201220102202.

It is a junction number, because it is equal to n+sod(n) for n = 2022010220986 and 2022010221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022010221029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84213857 + ... + 84237863.

It is an arithmetic number, because the mean of its divisors is an integer number (48173252400).

Almost surely, 22022010221020 is an apocalyptic number.

2022010221020 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 2022010221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312316115200).

2022010221020 is an abundant number, since it is smaller than the sum of its proper divisors (2602622009380).

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

2022010221020 is a wasteful number, since it uses less digits than its factorization.

2022010221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31707 (or 31705 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2022010221020 its reverse (201220102202), we get a palindrome (2223230323222).

The spelling of 2022010221020 in words is "two trillion, twenty-two billion, ten million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 2204 2755 5510 7643 11020 15286 24007 30572 38215 48014 76430 96028 120035 145217 152860 221647 240070 290434 443294 456133 480140 580868 696203 726085 886588 912266 1108235 1392406 1452170 1824532 2216470 2280665 2784812 2904340 3481015 4211293 4432940 4561330 6962030 8422586 9122660 13227857 13924060 16845172 21056465 26455714 42112930 52911428 66139285 84225860 132278570 183485501 264557140 366971002 733942004 917427505 1834855010 3486224519 3669710020 5321079529 6972449038 10642159058 13944898076 17431122595 21284318116 26605397645 34862245190 53210795290 69724490380 101100511051 106421590580 202201022102 404402044204 505502555255 1011005110510 2022010221020