Search a number
-
+
12011201010 = 2325133457789
BaseRepresentation
bin10110010111110110…
…00110000111110010
31011000002012020020200
423023323012013302
5144044331413020
65303505420030
7603435344514
oct131373060762
934002166220
1012011201010
115104012106
1223b263a616
131195586c43
1481d2d5bb4
154a4734590
hex2cbec61f2

12011201010 has 24 divisors (see below), whose sum is σ = 31229122860. Its totient is φ = 3202986912.

The previous prime is 12011201009. The next prime is 12011201011. The reversal of 12011201010 is 1010211021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12011201009) and next prime (12011201011).

It can be written as a sum of positive squares in 2 ways, for example, as 11344167081 + 667033929 = 106509^2 + 25827^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12011200983 and 12011201001.

It is not an unprimeable number, because it can be changed into a prime (12011201011) 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 11 ways as a sum of consecutive naturals, for example, 66728805 + ... + 66728984.

Almost surely, 212011201010 is an apocalyptic number.

12011201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12011201010 is an abundant number, since it is smaller than the sum of its proper divisors (19217921850).

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

12011201010 is a wasteful number, since it uses less digits than its factorization.

12011201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133457802 (or 133457799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12011201010 its reverse (1010211021), we get a palindrome (13021412031).

The spelling of 12011201010 in words is "twelve billion, eleven million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 133457789 266915578 400373367 667288945 800746734 1201120101 1334577890 2001866835 2402240202 4003733670 6005600505 12011201010