Search a number
-
+
12031012020 = 2235200516867
BaseRepresentation
bin10110011010001101…
…01010110010110100
31011001110110201211210
423031012222302310
5144114414341040
65305454201420
7604065625536
oct131506526264
934043421753
1012031012020
115114213445
1223b91b3270
131199702331
14821bb1856
154a6349480
hex2cd1aacb4

12031012020 has 24 divisors (see below), whose sum is σ = 33686833824. Its totient is φ = 3208269856.

The previous prime is 12031011961. The next prime is 12031012027. The reversal of 12031012020 is 2021013021.

12031012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12031011987 and 12031012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031012027) 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 7 ways as a sum of consecutive naturals, for example, 100258374 + ... + 100258493.

It is an arithmetic number, because the mean of its divisors is an integer number (1403618076).

Almost surely, 212031012020 is an apocalyptic number.

12031012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031012020 is an abundant number, since it is smaller than the sum of its proper divisors (21655821804).

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

12031012020 is a wasteful number, since it uses less digits than its factorization.

12031012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200516879 (or 200516877 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12031012020 its reverse (2021013021), we get a palindrome (14052025041).

The spelling of 12031012020 in words is "twelve billion, thirty-one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 200516867 401033734 601550601 802067468 1002584335 1203101202 2005168670 2406202404 3007753005 4010337340 6015506010 12031012020