Search a number
-
+
12301113132 = 22327112569709
BaseRepresentation
bin10110111010011010…
…00001011100101100
31011202021201021220200
423131031001130230
5200143041110012
65352343313500
7613555510410
oct133515013454
934667637820
1012301113132
115242726400
12247374b890
131210662189
14849a00d40
154bedee3dc
hex2dd34172c

12301113132 has 216 divisors, whose sum is σ = 39184672800. Its totient is φ = 3184980480.

The previous prime is 12301113119. The next prime is 12301113179. The reversal of 12301113132 is 23131110321.

12301113132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 71 ways as a sum of consecutive naturals, for example, 17349594 + ... + 17350302.

Almost surely, 212301113132 is an apocalyptic number.

12301113132 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 12301113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19592336400).

12301113132 is an abundant number, since it is smaller than the sum of its proper divisors (26883559668).

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

12301113132 is a wasteful number, since it uses less digits than its factorization.

12301113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12301113132 its reverse (23131110321), we get a palindrome (35432223453).

The spelling of 12301113132 in words is "twelve billion, three hundred one million, one hundred thirteen thousand, one hundred thirty-two".