Search a number
-
+
2101222020 = 223545776631
BaseRepresentation
bin111110100111110…
…0001101010000100
312102102211010201210
41331033201222010
513300403101040
6544300251420
7103033043502
oct17517415204
95372733653
102101222020
119890a3227
124a7840b70
13276428151
1415d0c7672
15c4709480
hex7d3e1a84

2101222020 has 48 divisors (see below), whose sum is σ = 5896372608. Its totient is φ = 559092480.

The previous prime is 2101222009. The next prime is 2101222021. The reversal of 2101222020 is 202221012.

2101222020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 2101221987 and 2101222005.

It is not an unprimeable number, because it can be changed into a prime (2101222021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10896 + ... + 65735.

It is an arithmetic number, because the mean of its divisors is an integer number (122841096).

Almost surely, 22101222020 is an apocalyptic number.

2101222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101222020 is an abundant number, since it is smaller than the sum of its proper divisors (3795150588).

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

2101222020 is a wasteful number, since it uses less digits than its factorization.

2101222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77100 (or 77098 counting only the distinct ones).

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

The square root of 2101222020 is about 45839.0883417199. The cubic root of 2101222020 is about 1280.8275125914.

Adding to 2101222020 its reverse (202221012), we get a palindrome (2303443032).

The spelling of 2101222020 in words is "two billion, one hundred one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 457 914 1371 1828 2285 2742 4570 5484 6855 9140 13710 27420 76631 153262 229893 306524 383155 459786 766310 919572 1149465 1532620 2298930 4597860 35020367 70040734 105061101 140081468 175101835 210122202 350203670 420244404 525305505 700407340 1050611010 2101222020