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2012412300 = 2235218137061
BaseRepresentation
bin111011111110010…
…1111100110001100
312012020201010200220
41313330233212030
513110134143200
6531404551340
7100604136153
oct16774574614
95166633626
102012412300
11942a55168
12481b52550
13260c01c12
141513aa59a
15bba154a0
hex77f2f98c

2012412300 has 72 divisors (see below), whose sum is σ = 5854906512. Its totient is φ = 533664000.

The previous prime is 2012412299. The next prime is 2012412313. The reversal of 2012412300 is 32142102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2012412300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35770 + ... + 72830.

It is an arithmetic number, because the mean of its divisors is an integer number (81318146).

Almost surely, 22012412300 is an apocalyptic number.

2012412300 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 2012412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927453256).

2012412300 is an abundant number, since it is smaller than the sum of its proper divisors (3842494212).

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

2012412300 is a wasteful number, since it uses less digits than its factorization.

2012412300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37259 (or 37252 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2012412300 is about 44859.9186356819. The cubic root of 2012412300 is about 1262.5220961398.

Adding to 2012412300 its reverse (32142102), we get a palindrome (2044554402).

The spelling of 2012412300 in words is "two billion, twelve million, four hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 181 300 362 543 724 905 1086 1810 2172 2715 3620 4525 5430 9050 10860 13575 18100 27150 37061 54300 74122 111183 148244 185305 222366 370610 444732 555915 741220 926525 1111830 1853050 2223660 2779575 3706100 5559150 6708041 11118300 13416082 20124123 26832164 33540205 40248246 67080410 80496492 100620615 134160820 167701025 201241230 335402050 402482460 503103075 670804100 1006206150 2012412300