Search a number
-
+
23211012132 = 22337115575011
BaseRepresentation
bin10101100111011110…
…111111000000100100
32012220121121120211000
4111213132333000210
5340014004342012
614355112313300
71451122230210
oct254736770044
965817546730
1023211012132
119931013a60
1245b93a2830
13225ba00909
1411a2939940
1590cae1ddc
hex5677bf024

23211012132 has 192 divisors, whose sum is σ = 75175188480. Its totient is φ = 6016809600.

The previous prime is 23211012119. The next prime is 23211012133. The reversal of 23211012132 is 23121011232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23211012133) 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 63 ways as a sum of consecutive naturals, for example, 4629507 + ... + 4634517.

It is an arithmetic number, because the mean of its divisors is an integer number (391537440).

Almost surely, 223211012132 is an apocalyptic number.

23211012132 is a gapful number since it is divisible by the number (22) 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 23211012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37587594240).

23211012132 is an abundant number, since it is smaller than the sum of its proper divisors (51964176348).

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

23211012132 is a wasteful number, since it uses less digits than its factorization.

23211012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23211012132 its reverse (23121011232), we get a palindrome (46332023364).

The spelling of 23211012132 in words is "twenty-three billion, two hundred eleven million, twelve thousand, one hundred thirty-two".