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2122012020 = 223510123467
BaseRepresentation
bin111111001111011…
…0101010101110100
312110212221101020210
41332132311111310
513321213341040
6550322025420
7103404542652
oct17636652564
95425841223
102122012020
11999903047
124b27a8270
1327a82701b
14161b79dd2
15c6464480
hex7e7b5574

2122012020 has 72 divisors (see below), whose sum is σ = 6002775072. Its totient is φ = 560105600.

The previous prime is 2122011973. The next prime is 2122012021. The reversal of 2122012020 is 202102212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2122011987 and 2122012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122012021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610327 + ... + 613793.

It is an arithmetic number, because the mean of its divisors is an integer number (83371876).

Almost surely, 22122012020 is an apocalyptic number.

2122012020 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 2122012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001387536).

2122012020 is an abundant number, since it is smaller than the sum of its proper divisors (3880763052).

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

2122012020 is a wasteful number, since it uses less digits than its factorization.

2122012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2122012020 is about 46065.3016922716. The cubic root of 2122012020 is about 1285.0379293058.

Adding to 2122012020 its reverse (202102212), we get a palindrome (2324114232).

The spelling of 2122012020 in words is "two billion, one hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 3467 6060 6934 10201 10401 13868 17335 20402 20802 30603 34670 40804 41604 51005 52005 61206 69340 102010 104010 122412 153015 204020 208020 306030 350167 612060 700334 1050501 1400668 1750835 2101002 3501670 4202004 5252505 7003340 10505010 21010020 35366867 70733734 106100601 141467468 176834335 212201202 353668670 424402404 530503005 707337340 1061006010 2122012020