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2012340200 = 2352133124967
BaseRepresentation
bin111011111110001…
…1101111111101000
312012020120110210112
41313330131333220
513110124341300
6531403233452
7100603416023
oct16774357750
95166513715
102012340200
11942a05a82
12481b18888
13260ba8160
1415138c1ba
15bb9ede35
hex77f1dfe8

2012340200 has 96 divisors (see below), whose sum is σ = 5201333760. Its totient is φ = 719020800.

The previous prime is 2012340191. The next prime is 2012340227. The reversal of 2012340200 is 20432102.

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, 68117 + ... + 93083.

It is an arithmetic number, because the mean of its divisors is an integer number (54180560).

Almost surely, 22012340200 is an apocalyptic number.

2012340200 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 2012340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600666880).

2012340200 is an abundant number, since it is smaller than the sum of its proper divisors (3188993560).

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

2012340200 is a wasteful number, since it uses less digits than its factorization.

2012340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25027 (or 25018 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2012340200 is about 44859.1150157914. The cubic root of 2012340200 is about 1262.5070182272.

Adding to 2012340200 its reverse (20432102), we get a palindrome (2032772302).

The spelling of 2012340200 in words is "two billion, twelve million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 200 248 260 310 325 403 520 620 650 775 806 1240 1300 1550 1612 2015 2600 3100 3224 4030 6200 8060 10075 16120 20150 24967 40300 49934 80600 99868 124835 199736 249670 324571 499340 624175 649142 773977 998680 1248350 1298284 1547954 1622855 2496700 2596568 3095908 3245710 3869885 4993400 6191816 6491420 7739770 8114275 10061701 12982840 15479540 16228550 19349425 20123402 30959080 32457100 38698850 40246804 50308505 64914200 77397700 80493608 100617010 154795400 201234020 251542525 402468040 503085050 1006170100 2012340200