Search a number
-
+
2011132020 = 2235291155823
BaseRepresentation
bin111011111011111…
…0111000001110100
312012011022002111010
41313313313001310
513104322211040
6531321312220
7100560224442
oct16767670164
95164262433
102011132020
11942260287
12481635670
13260874261
14151155b92
15bb860e80
hex77df7074

2011132020 has 48 divisors (see below), whose sum is σ = 5825352960. Its totient is φ = 517808256.

The previous prime is 2011131971. The next prime is 2011132033. The reversal of 2011132020 is 202311102.

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 = 2011131987 and 2011132005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576172 + ... + 579651.

It is an arithmetic number, because the mean of its divisors is an integer number (121361520).

Almost surely, 22011132020 is an apocalyptic number.

2011132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011132020 is an abundant number, since it is smaller than the sum of its proper divisors (3814220940).

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

2011132020 is a wasteful number, since it uses less digits than its factorization.

2011132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155864 (or 1155862 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2011132020 is about 44845.6466114605. The cubic root of 2011132020 is about 1262.2543039836.

Adding to 2011132020 its reverse (202311102), we get a palindrome (2213443122).

The spelling of 2011132020 in words is "two billion, eleven million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 1155823 2311646 3467469 4623292 5779115 6934938 11558230 13869876 17337345 23116460 33518867 34674690 67037734 69349380 100556601 134075468 167594335 201113202 335188670 402226404 502783005 670377340 1005566010 2011132020