Search a number
-
+
2010011120 = 245131932703
BaseRepresentation
bin111011111001110…
…0101010111110000
312012002012010220022
41313303211113300
513104030323440
6531241303012
7100544545505
oct16763452760
95162163808
102010011120
11941665117
12481194a68
13260570cc0
14150d434ac
15bb6ddcb5
hex77ce55f0

2010011120 has 40 divisors (see below), whose sum is σ = 5032761216. Its totient is φ = 742157568.

The previous prime is 2010011111. The next prime is 2010011131. The reversal of 2010011120 is 211100102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2010011098 and 2010011107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 965312 + ... + 967391.

Almost surely, 22010011120 is an apocalyptic number.

2010011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010011120 is an abundant number, since it is smaller than the sum of its proper divisors (3022750096).

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

2010011120 is a wasteful number, since it uses less digits than its factorization.

2010011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932729 (or 1932723 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2010011120 is about 44833.1475584751. The cubic root of 2010011120 is about 1262.0197555182.

Adding to 2010011120 its reverse (211100102), we get a palindrome (2221111222).

The spelling of 2010011120 in words is "two billion, ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1932703 3865406 7730812 9663515 15461624 19327030 25125139 30923248 38654060 50250278 77308120 100500556 125625695 154616240 201001112 251251390 402002224 502502780 1005005560 2010011120