Search a number
-
+
12303233232 = 2432397114889
BaseRepresentation
bin10110111010101010…
…00111000011010000
31011202102201000010220
423131111013003100
5200144111430412
65352500553040
7613612520433
oct133525070320
934672630126
1012303233232
115243944254
1224743b2780
131210c25184
14849dd381a
154c01bc68c
hex2dd5470d0

12303233232 has 80 divisors (see below), whose sum is σ = 33507438720. Its totient is φ = 3882295296.

The previous prime is 12303233231. The next prime is 12303233233. The reversal of 12303233232 is 23233230321.

It is an interprime number because it is at equal distance from previous prime (12303233231) and next prime (12303233233).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303233231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49644 + ... + 164532.

It is an arithmetic number, because the mean of its divisors is an integer number (418842984).

Almost surely, 212303233232 is an apocalyptic number.

12303233232 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 12303233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753719360).

12303233232 is an abundant number, since it is smaller than the sum of its proper divisors (21204205488).

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

12303233232 is a wasteful number, since it uses less digits than its factorization.

12303233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115020 (or 115014 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 12303233232 its reverse (23233230321), we get a palindrome (35536463553).

The spelling of 12303233232 in words is "twelve billion, three hundred three million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 97 138 184 194 276 291 368 388 552 582 776 1104 1164 1552 2231 2328 4462 4656 6693 8924 13386 17848 26772 35696 53544 107088 114889 229778 344667 459556 689334 919112 1378668 1838224 2642447 2757336 5284894 5514672 7927341 10569788 11144233 15854682 21139576 22288466 31709364 33432699 42279152 44576932 63418728 66865398 89153864 126837456 133730796 178307728 256317359 267461592 512634718 534923184 768952077 1025269436 1537904154 2050538872 3075808308 4101077744 6151616616 12303233232