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2012202300 = 2235211359357
BaseRepresentation
bin111011111101111…
…1100010100111100
312012020022110122010
41313323330110330
513110110433200
6531400251220
7100602303003
oct16773742474
95166273563
102012202300
11942921409
12481a70b10
13260b5a464
14151353c3a
15bb9c3150
hex77efc53c

2012202300 has 72 divisors (see below), whose sum is σ = 5873592816. Its totient is φ = 531829760.

The previous prime is 2012202299. The next prime is 2012202301. The reversal of 2012202300 is 32022102.

It is an interprime number because it is at equal distance from previous prime (2012202299) and next prime (2012202301).

It is a super-2 number, since 2×20122023002 = 8097916192250580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012202301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4222 + ... + 63578.

It is an arithmetic number, because the mean of its divisors is an integer number (81577678).

Almost surely, 22012202300 is an apocalyptic number.

2012202300 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 2012202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936796408).

2012202300 is an abundant number, since it is smaller than the sum of its proper divisors (3861390516).

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

2012202300 is a wasteful number, since it uses less digits than its factorization.

2012202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59487 (or 59480 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2012202300 is about 44857.5779551237. The cubic root of 2012202300 is about 1262.4781788863.

Adding to 2012202300 its reverse (32022102), we get a palindrome (2044224402).

The spelling of 2012202300 in words is "two billion, twelve million, two hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 565 678 1130 1356 1695 2260 2825 3390 5650 6780 8475 11300 16950 33900 59357 118714 178071 237428 296785 356142 593570 712284 890355 1187140 1483925 1780710 2967850 3561420 4451775 5935700 6707341 8903550 13414682 17807100 20122023 26829364 33536705 40244046 67073410 80488092 100610115 134146820 167683525 201220230 335367050 402440460 503050575 670734100 1006101150 2012202300