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12334102011 = 337115932709
BaseRepresentation
bin10110111110010101…
…10111010111111011
31011211120210022011000
423133022313113323
5200230012231021
65355522340043
7614436065040
oct133712672773
934746708130
1012334102011
11525a308440
1224827ba623
13121744271a
1485014b1c7
154c2c68b26
hex2df2b75fb

12334102011 has 32 divisors (see below), whose sum is σ = 22781606400. Its totient is φ = 6407324640.

The previous prime is 12334102009. The next prime is 12334102013. The reversal of 12334102011 is 11020143321.

12334102011 is a `hidden beast` number, since 1 + 233 + 410 + 20 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (12334102009) and next prime (12334102013).

It is not a de Polignac number, because 12334102011 - 21 = 12334102009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12334102013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2964276 + ... + 2968433.

It is an arithmetic number, because the mean of its divisors is an integer number (711925200).

Almost surely, 212334102011 is an apocalyptic number.

12334102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12334102011 is a deficient number, since it is larger than the sum of its proper divisors (10447504389).

12334102011 is a wasteful number, since it uses less digits than its factorization.

12334102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932736 (or 5932730 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12334102011 its reverse (11020143321), we get a palindrome (23354245332).

The spelling of 12334102011 in words is "twelve billion, three hundred thirty-four million, one hundred two thousand, eleven".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 5932709 17798127 41528963 53394381 65259799 124586889 160183143 195779397 373760667 456818593 587338191 1121282001 1370455779 1762014573 4111367337 12334102011