Search a number
-
+
2013021144 = 233227958627
BaseRepresentation
bin111011111111100…
…0100001111011000
312012021212001212200
41313333010033120
513110313134034
6531430010200
7100612253211
oct16777041730
95167761780
102013021144
11943330642
124821a6960
13261086094
141514c8408
15bbad5a99
hex77fc43d8

2013021144 has 24 divisors (see below), whose sum is σ = 5451932460. Its totient is φ = 671007024.

The previous prime is 2013021137. The next prime is 2013021151. The reversal of 2013021144 is 4411203102.

It is an interprime number because it is at equal distance from previous prime (2013021137) and next prime (2013021151).

It is a tau number, because it is divible by the number of its divisors (24).

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

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 5 ways as a sum of consecutive naturals, for example, 13979242 + ... + 13979385.

Almost surely, 22013021144 is an apocalyptic number.

2013021144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2013021144 is an abundant number, since it is smaller than the sum of its proper divisors (3438911316).

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

2013021144 is a wasteful number, since it uses less digits than its factorization.

2013021144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27958639 (or 27958632 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2013021144 is about 44866.7041802716. The cubic root of 2013021144 is about 1262.6494062833.

Adding to 2013021144 its reverse (4411203102), we get a palindrome (6424224246).

The spelling of 2013021144 in words is "two billion, thirteen million, twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 27958627 55917254 83875881 111834508 167751762 223669016 251627643 335503524 503255286 671007048 1006510572 2013021144