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2011342300 = 22521113071399
BaseRepresentation
bin111011111100010…
…1010010111011100
312012011200202221021
41313320222113130
513104400423200
6531330013524
7100562061502
oct16770522734
95164622837
102011342300
11942394270
124817172a4
13260918b96
141511ac672
15bb8a341a
hex77e2a5dc

2011342300 has 72 divisors (see below), whose sum is σ = 4768444800. Its totient is φ = 730315200.

The previous prime is 2011342283. The next prime is 2011342303. The reversal of 2011342300 is 32431102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011342303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1437001 + ... + 1438399.

It is an arithmetic number, because the mean of its divisors is an integer number (66228400).

Almost surely, 22011342300 is an apocalyptic number.

2011342300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384222400).

2011342300 is an abundant number, since it is smaller than the sum of its proper divisors (2757102500).

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

2011342300 is a wasteful number, since it uses less digits than its factorization.

2011342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2011342300 is about 44847.9910363887. The cubic root of 2011342300 is about 1262.2982953911.

Adding to 2011342300 its reverse (32431102), we get a palindrome (2043773402).

The spelling of 2011342300 in words is "two billion, eleven million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1307 1399 2614 2798 5228 5596 6535 6995 13070 13990 14377 15389 26140 27980 28754 30778 32675 34975 57508 61556 65350 69950 71885 76945 130700 139900 143770 153890 287540 307780 359425 384725 718850 769450 1437700 1538900 1828493 3656986 7313972 9142465 18284930 20113423 36569860 40226846 45712325 80453692 91424650 100567115 182849300 201134230 402268460 502835575 1005671150 2011342300