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2013002200 = 235211979433
BaseRepresentation
bin111011111111011…
…1111100111011000
312012021211002220001
41313332333213120
513110312032300
6531425342344
7100612144036
oct16776774730
95167732801
102013002200
11943318390
124821979b4
1326107a581
141514c1556
15bbad016a
hex77fbf9d8

2013002200 has 96 divisors (see below), whose sum is σ = 5158888560. Its totient is φ = 724377600.

The previous prime is 2013002191. The next prime is 2013002209. The reversal of 2013002200 is 22003102.

It is an interprime number because it is at equal distance from previous prime (2013002191) and next prime (2013002209).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013002209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208684 + ... + 218116.

Almost surely, 22013002200 is an apocalyptic number.

2013002200 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 2013002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579444280).

2013002200 is an abundant number, since it is smaller than the sum of its proper divisors (3145886360).

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

2013002200 is a wasteful number, since it uses less digits than its factorization.

2013002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9557 (or 9548 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2013002200 is about 44866.4930655383. The cubic root of 2013002200 is about 1262.6454454530.

Adding to 2013002200 its reverse (22003102), we get a palindrome (2035005302).

The spelling of 2013002200 in words is "two billion, thirteen million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 194 200 220 275 388 440 485 550 776 970 1067 1100 1940 2134 2200 2425 3880 4268 4850 5335 8536 9433 9700 10670 18866 19400 21340 26675 37732 42680 47165 53350 75464 94330 103763 106700 188660 207526 213400 235825 377320 415052 471650 518815 830104 915001 943300 1037630 1830002 1886600 2075260 2594075 3660004 4150520 4575005 5188150 7320008 9150010 10065011 10376300 18300020 20130022 20752600 22875025 36600040 40260044 45750050 50325055 80520088 91500100 100650110 183000200 201300220 251625275 402600440 503250550 1006501100 2013002200