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2011982120 = 23550299553
BaseRepresentation
bin111011111101100…
…0110100100101000
312012012220021121022
41313323012210220
513110031411440
6531351432012
7100600365041
oct16773064450
95165807538
102011982120
11942790a45
12481985608
13260ab1185
141512d78c8
15bb97ccb5
hex77ec6928

2011982120 has 16 divisors (see below), whose sum is σ = 4526959860. Its totient is φ = 804792832.

The previous prime is 2011982117. The next prime is 2011982129. The reversal of 2011982120 is 212891102.

It can be written as a sum of positive squares in 2 ways, for example, as 1854680356 + 157301764 = 43066^2 + 12542^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2011982120.

It is not an unprimeable number, because it can be changed into a prime (2011982129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25149737 + ... + 25149816.

Almost surely, 22011982120 is an apocalyptic number.

2011982120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011982120 is an abundant number, since it is smaller than the sum of its proper divisors (2514977740).

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

2011982120 is a wasteful number, since it uses less digits than its factorization.

2011982120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50299564 (or 50299560 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 2011982120 is about 44855.1236761198. The cubic root of 2011982120 is about 1262.4321294103.

It can be divided in two parts, 2011982 and 120, that added together give a palindrome (2012102).

The spelling of 2011982120 in words is "two billion, eleven million, nine hundred eighty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 50299553 100599106 201198212 251497765 402396424 502995530 1005991060 2011982120