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12020100833 = 132194936493
BaseRepresentation
bin10110011000111010…
…00010111011100001
31011000200221101111202
423030131002323201
5144104121211313
65304424250545
7603604112516
oct131435027341
934020841452
1012020100833
115109040734
1223b5610a55
131197381b00
1482057130d
154a53e1558
hex2cc742ee1

12020100833 has 12 divisors (see below), whose sum is σ = 13022883900. Its totient is φ = 11089480896.

The previous prime is 12020100823. The next prime is 12020100839. The reversal of 12020100833 is 33800102021.

12020100833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3034577569 + 8985523264 = 55087^2 + 94792^2 .

It is not a de Polignac number, because 12020100833 - 26 = 12020100769 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12020100839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311135 + ... + 347627.

It is an arithmetic number, because the mean of its divisors is an integer number (1085240325).

Almost surely, 212020100833 is an apocalyptic number.

12020100833 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12020100833 is a deficient number, since it is larger than the sum of its proper divisors (1002783067).

12020100833 is a wasteful number, since it uses less digits than its factorization.

12020100833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38468 (or 38455 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12020100833 its reverse (33800102021), we get a palindrome (45820202854).

The spelling of 12020100833 in words is "twelve billion, twenty million, one hundred thousand, eight hundred thirty-three".

Divisors: 1 13 169 1949 25337 36493 329381 474409 6167317 71124857 924623141 12020100833