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2120002020 = 2232511777789
BaseRepresentation
bin111111001011100…
…1010100111100100
312110202011021001100
41332113022213210
513320210031040
6550211000100
7103351501623
oct17627124744
95422137040
102120002020
1199875a994
124b1b99030
1327a2a2186
141617b56ba
15c61b8b30
hex7e5ca9e4

2120002020 has 36 divisors (see below), whose sum is σ = 6430673340. Its totient is φ = 565333824.

The previous prime is 2120002013. The next prime is 2120002043. The reversal of 2120002020 is 202000212.

It can be written as a sum of positive squares in 2 ways, for example, as 228795876 + 1891206144 = 15126^2 + 43488^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2120001993 and 2120002011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5888715 + ... + 5889074.

It is an arithmetic number, because the mean of its divisors is an integer number (178629815).

Almost surely, 22120002020 is an apocalyptic number.

2120002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120002020 is an abundant number, since it is smaller than the sum of its proper divisors (4310671320).

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

2120002020 is a wasteful number, since it uses less digits than its factorization.

2120002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11777804 (or 11777799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2120002020 is about 46043.4796686784. The cubic root of 2120002020 is about 1284.6320657243.

Adding to 2120002020 its reverse (202000212), we get a palindrome (2322002232).

The spelling of 2120002020 in words is "two billion, one hundred twenty million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11777789 23555578 35333367 47111156 58888945 70666734 106000101 117777890 141333468 176666835 212000202 235555780 353333670 424000404 530000505 706667340 1060001010 2120002020