Search a number
-
+
12310081152 = 2731931371471
BaseRepresentation
bin10110111011011110…
…01110111010000000
31011202220120220201120
423131233032322000
5200202340044102
65353303432240
7614024651265
oct133557167200
934686526646
1012310081152
1152477a1196
122476755680
1312124820b5
1484ac9726c
154c0ac16bc
hex2ddbcee80

12310081152 has 256 divisors, whose sum is σ = 36515020800. Its totient is φ = 3657830400.

The previous prime is 12310081129. The next prime is 12310081181. The reversal of 12310081152 is 25118001321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8367777 + ... + 8369247.

It is an arithmetic number, because the mean of its divisors is an integer number (142636800).

Almost surely, 212310081152 is an apocalyptic number.

12310081152 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 12310081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18257510400).

12310081152 is an abundant number, since it is smaller than the sum of its proper divisors (24204939648).

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

12310081152 is a wasteful number, since it uses less digits than its factorization.

12310081152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 12310081152 its reverse (25118001321), we get a palindrome (37428082473).

The spelling of 12310081152 in words is "twelve billion, three hundred ten million, eighty-one thousand, one hundred fifty-two".