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12021102013 = 371492180501
BaseRepresentation
bin10110011001000001…
…10111010110111101
31011000202211020212111
423030200313112331
5144104400231023
65304501534021
7603615452434
oct131440672675
934022736774
1012021102013
115109664958
1223b5a14311
13119764271b
1482075211b
154a553d00d
hex2cc8375bd

12021102013 has 8 divisors (see below), whose sum is σ = 12428861400. Its totient is φ = 11617704000.

The previous prime is 12021101993. The next prime is 12021102017. The reversal of 12021102013 is 31020112021.

It can be written as a sum of positive squares in 4 ways, for example, as 1932305764 + 10088796249 = 43958^2 + 100443^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-12021102013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12021101984 and 12021102002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021102017) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1084738 + ... + 1095763.

It is an arithmetic number, because the mean of its divisors is an integer number (1553607675).

Almost surely, 212021102013 is an apocalyptic number.

It is an amenable number.

12021102013 is a deficient number, since it is larger than the sum of its proper divisors (407759387).

12021102013 is a wasteful number, since it uses less digits than its factorization.

12021102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180687.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12021102013 its reverse (31020112021), we get a palindrome (43041214034).

The spelling of 12021102013 in words is "twelve billion, twenty-one million, one hundred two thousand, thirteen".

Divisors: 1 37 149 5513 2180501 80678537 324894649 12021102013