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2012430012 = 2231724140933
BaseRepresentation
bin111011111110011…
…0011111010111100
312012020202000222220
41313330303322330
513110140230022
6531405205340
7100604241615
oct16774637274
95166660886
102012430012
11942a674aa
12481b60850
13260c09cb8
141513b2c0c
15bba1a85c
hex77f33ebc

2012430012 has 48 divisors (see below), whose sum is σ = 4992638112. Its totient is φ = 628715520.

The previous prime is 2012429989. The next prime is 2012430041. The reversal of 2012430012 is 2100342102.

It is a junction number, because it is equal to n+sod(n) for n = 2012429973 and 2012430000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28698 + ... + 69630.

It is an arithmetic number, because the mean of its divisors is an integer number (104013294).

Almost surely, 22012430012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012430012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496319056).

2012430012 is an abundant number, since it is smaller than the sum of its proper divisors (2980208100).

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

2012430012 is a wasteful number, since it uses less digits than its factorization.

2012430012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41198 (or 41196 counting only the distinct ones).

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

The square root of 2012430012 is about 44860.1160497830. The cubic root of 2012430012 is about 1262.5258001067.

Adding to 2012430012 its reverse (2100342102), we get a palindrome (4112772114).

It can be divided in two parts, 20124300 and 12, that multiplied together give a square (241491600 = 155402).

The spelling of 2012430012 in words is "two billion, twelve million, four hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 241 482 723 964 1446 2892 4097 8194 12291 16388 24582 40933 49164 81866 122799 163732 245598 491196 695861 1391722 2087583 2783444 4175166 8350332 9864853 19729706 29594559 39459412 59189118 118378236 167702501 335405002 503107503 670810004 1006215006 2012430012