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2109112020 = 223451301921
BaseRepresentation
bin111110110110110…
…0111111011010100
312102222122222210000
41331231213323110
513304413041040
6545141331300
7103160104431
oct17555477324
95388588700
102109112020
119925a2094
124aa406b30
13277c5b4a2
1416017cb88
15c5267130
hex7db67ed4

2109112020 has 60 divisors (see below), whose sum is σ = 6616367604. Its totient is φ = 562429440.

The previous prime is 2109112009. The next prime is 2109112067. The reversal of 2109112020 is 202119012.

It can be written as a sum of positive squares in 2 ways, for example, as 1247219856 + 861892164 = 35316^2 + 29358^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2109111984 and 2109112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 649341 + ... + 652580.

Almost surely, 22109112020 is an apocalyptic number.

2109112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2109112020 is an abundant number, since it is smaller than the sum of its proper divisors (4507255584).

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

2109112020 is a wasteful number, since it uses less digits than its factorization.

2109112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301942 (or 1301931 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2109112020 is about 45925.0696243348. The cubic root of 2109112020 is about 1282.4286612622.

The spelling of 2109112020 in words is "two billion, one hundred nine million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1301921 2603842 3905763 5207684 6509605 7811526 11717289 13019210 15623052 19528815 23434578 26038420 35151867 39057630 46869156 58586445 70303734 78115260 105455601 117172890 140607468 175759335 210911202 234345780 351518670 421822404 527278005 703037340 1054556010 2109112020