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2012313366 = 232747373911
BaseRepresentation
bin111011111110001…
…0111011100010110
312012020112002222200
41313330113130112
513110123011431
6531402505330
7100603244550
oct16774273426
95166462880
102012313366
119429978a8
12481b05246
13260b98b8b
141513824d0
15bb9e5ee6
hex77f17716

2012313366 has 96 divisors (see below), whose sum is σ = 5108133888. Its totient is φ = 560589120.

The previous prime is 2012313361. The next prime is 2012313377. The reversal of 2012313366 is 6633132102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012313361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2208451 + ... + 2209361.

It is an arithmetic number, because the mean of its divisors is an integer number (53209728).

Almost surely, 22012313366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012313366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554066944).

2012313366 is an abundant number, since it is smaller than the sum of its proper divisors (3095820522).

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

2012313366 is a wasteful number, since it uses less digits than its factorization.

2012313366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2012313366 is about 44858.8159228484. The cubic root of 2012313366 is about 1262.5014064749.

Adding to 2012313366 its reverse (6633132102), we get a palindrome (8645445468).

It can be divided in two parts, 20123 and 13366, that added together give a square (33489 = 1832).

The spelling of 2012313366 in words is "two billion, twelve million, three hundred thirteen thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 373 423 658 746 846 911 987 1119 1822 1974 2238 2611 2733 2961 3357 5222 5466 5922 6377 6714 7833 8199 12754 15666 16398 17531 19131 23499 35062 38262 42817 46998 52593 57393 85634 105186 114786 122717 128451 157779 245434 256902 299719 315558 339803 368151 385353 599438 679606 736302 770706 899157 1019409 1104453 1798314 2038818 2208906 2378621 2697471 3058227 4757242 5394942 6116454 7135863 14271726 15970741 21407589 31941482 42815178 47912223 95824446 111795187 143736669 223590374 287473338 335385561 670771122 1006156683 2012313366