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2122021020020 = 2251137881295903
BaseRepresentation
bin11110111000010010010…
…011110010000101110100
321111212022021220220201212
4132320102103302011310
5234231344340120040
64302502030540552
7306211442030066
oct36702223620564
97455267826655
102122021020020
11748a425aa190
122a3318667758
1312514b375575
14749c63a3736
153a2ea5e8d65
hex1ee124f2174

2122021020020 has 96 divisors (see below), whose sum is σ = 4998429305856. Its totient is φ = 749934028800.

The previous prime is 2122021020019. The next prime is 2122021020029. The reversal of 2122021020020 is 200201202212.

It is a junction number, because it is equal to n+sod(n) for n = 2122021019977 and 2122021020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122021020029) 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, 7023389 + ... + 7319291.

It is an arithmetic number, because the mean of its divisors is an integer number (52066971936).

Almost surely, 22122021020020 is an apocalyptic number.

2122021020020 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 2122021020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499214652928).

2122021020020 is an abundant number, since it is smaller than the sum of its proper divisors (2876408285836).

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

2122021020020 is a wasteful number, since it uses less digits than its factorization.

2122021020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296841 (or 296839 counting only the distinct ones).

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

Adding to 2122021020020 its reverse (200201202212), we get a palindrome (2322222222232).

The spelling of 2122021020020 in words is "two trillion, one hundred twenty-two billion, twenty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 881 1628 1762 2035 3524 4070 4405 8140 8810 9691 17620 19382 32597 38764 48455 65194 96910 130388 162985 193820 295903 325970 358567 591806 651940 717134 1183612 1434268 1479515 1792835 2959030 3254933 3585670 5918060 6509866 7171340 10948411 13019732 16274665 21896822 32549330 43793644 54742055 65098660 109484110 120432521 218968220 240865042 260690543 481730084 521381086 602162605 1042762172 1204325210 1303452715 2408650420 2606905430 2867595973 5213810860 5735191946 9645550091 11470383892 14337979865 19291100182 28675959730 38582200364 48227750455 57351919460 96455500910 106101051001 192911001820 212202102002 424404204004 530505255005 1061010510010 2122021020020