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13432431012 = 223711133730223
BaseRepresentation
bin11001000001010001…
…01010000110100100
31021200010111012021220
430200220222012210
5210002200243022
610100515340340
7653603531310
oct144050520644
937603435256
1013432431012
115773291260
12272a5b16b0
131360b59940
14915d72b40
155393be85c
hex320a2a1a4

13432431012 has 192 divisors, whose sum is σ = 43220803584. Its totient is φ = 3133416960.

The previous prime is 13432431011. The next prime is 13432431041. The reversal of 13432431012 is 21013423431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13432431011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429333 + ... + 459555.

It is an arithmetic number, because the mean of its divisors is an integer number (225108352).

Almost surely, 213432431012 is an apocalyptic number.

13432431012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13432431012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21610401792).

13432431012 is an abundant number, since it is smaller than the sum of its proper divisors (29788372572).

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

13432431012 is a wasteful number, since it uses less digits than its factorization.

13432431012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30298 (or 30296 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13432431012 its reverse (21013423431), we get a palindrome (34445854443).

It can be divided in two parts, 13432 and 431012, that added together give a palindrome (444444).

The spelling of 13432431012 in words is "thirteen billion, four hundred thirty-two million, four hundred thirty-one thousand, twelve".