Search a number
-
+
12011000020 = 2254114647561
BaseRepresentation
bin10110010111110100…
…10101000011010100
31011000001211000112121
423023322111003110
5144044304000040
65303501225324
7603433546525
oct131372250324
934001730477
1012011000020
1151039950a8
1223b2562244
131195516606
1481d28284c
154a46e4c4a
hex2cbe950d4

12011000020 has 24 divisors (see below), whose sum is σ = 25838299368. Its totient is φ = 4687219200.

The previous prime is 12011000011. The next prime is 12011000041. The reversal of 12011000020 is 2000011021.

12011000020 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 4 ways, for example, as 339222724 + 11671777296 = 18418^2 + 108036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12010999967 and 12011000012.

It is a congruent number.

It is an unprimeable number.

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, 7322961 + ... + 7324600.

It is an arithmetic number, because the mean of its divisors is an integer number (1076595807).

Almost surely, 212011000020 is an apocalyptic number.

12011000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011000020 is an abundant number, since it is smaller than the sum of its proper divisors (13827299348).

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

12011000020 is a wasteful number, since it uses less digits than its factorization.

12011000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14647611 (or 14647609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12011000020 its reverse (2000011021), we get a palindrome (14011011041).

The spelling of 12011000020 in words is "twelve billion, eleven million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 14647561 29295122 58590244 73237805 146475610 292951220 600550001 1201100002 2402200004 3002750005 6005500010 12011000020