Search a number
-
+
12034032010 = 25721121321201
BaseRepresentation
bin10110011010100100…
…01100000110001010
31011001200011011111021
423031102030012022
5144121203011020
65310043023054
7604133404300
oct131522140612
934050134437
1012034032010
115115996400
1223ba20aa8a
13119a21bb00
1482235a270
154a67441aa
hex2cd48c18a

12034032010 has 216 divisors, whose sum is σ = 30016120428. Its totient is φ = 3459456000.

The previous prime is 12034031941. The next prime is 12034032019. The reversal of 12034032010 is 1023043021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 28227969 + 12005804041 = 5313^2 + 109571^2 .

It is not an unprimeable number, because it can be changed into a prime (12034032019) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10019410 + ... + 10020610.

Almost surely, 212034032010 is an apocalyptic number.

12034032010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12034032010 is an abundant number, since it is smaller than the sum of its proper divisors (17982088418).

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

12034032010 is a wasteful number, since it uses less digits than its factorization.

12034032010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12034032010 its reverse (1023043021), we get a palindrome (13057075031).

The spelling of 12034032010 in words is "twelve billion, thirty-four million, thirty-two thousand, ten".