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12010314024 = 2332166809917
BaseRepresentation
bin10110010111101111…
…01101100100101000
31011000000112011112100
423023313231210220
5144044120022044
65303434413400
7603424661532
oct131367554450
934000464470
1012010314024
115103566765
1223b2291260
1311953362b7
1481d144852
154a460b869
hex2cbded928

12010314024 has 24 divisors (see below), whose sum is σ = 32527934010. Its totient is φ = 4003437984.

The previous prime is 12010313999. The next prime is 12010314031. The reversal of 12010314024 is 42041301021.

It can be written as a sum of positive squares in only one way, i.e., 10157011524 + 1853302500 = 100782^2 + 43050^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×120103140243 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12010313988 and 12010314006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83404887 + ... + 83405030.

Almost surely, 212010314024 is an apocalyptic number.

It is an amenable number.

12010314024 is an abundant number, since it is smaller than the sum of its proper divisors (20517619986).

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

12010314024 is a wasteful number, since it uses less digits than its factorization.

12010314024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166809929 (or 166809922 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12010314024 its reverse (42041301021), we get a palindrome (54051615045).

The spelling of 12010314024 in words is "twelve billion, ten million, three hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 166809917 333619834 500429751 667239668 1000859502 1334479336 1501289253 2001719004 3002578506 4003438008 6005157012 12010314024