Search a number
-
+
3132302303232 = 2133341477349
BaseRepresentation
bin101101100101001011110…
…001000010000000000000
3102002110000112101122101000
4231211023301002000000
5402304423342200412
610354543153012000
7442205241164544
oct55451361020000
912073015348330
103132302303232
11aa8446a9a353
12427089854000
131994b46a502b
14ab86606da24
15567297814dc
hex2d94bc42000

3132302303232 has 448 divisors, whose sum is σ = 9710269632000. Its totient is φ = 996826152960.

The previous prime is 3132302303231. The next prime is 3132302303243. The reversal of 3132302303232 is 2323032032313.

3132302303232 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 302 + 30 + 323 + 2 = 666.

It is a super-2 number, since 2×31323023032322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3132302303196 and 3132302303205.

It is not an unprimeable number, because it can be changed into a prime (3132302303231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426217894 + ... + 426225242.

It is an arithmetic number, because the mean of its divisors is an integer number (21674709000).

Almost surely, 23132302303232 is an apocalyptic number.

3132302303232 is a gapful number since it is divisible by the number (32) 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 3132302303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855134816000).

3132302303232 is an abundant number, since it is smaller than the sum of its proper divisors (6577967328768).

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

3132302303232 is an equidigital number, since it uses as much as digits as its factorization.

3132302303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7472 (or 7442 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 3132302303232 its reverse (2323032032313), we get a palindrome (5455334335545).

The spelling of 3132302303232 in words is "three trillion, one hundred thirty-two billion, three hundred two million, three hundred three thousand, two hundred thirty-two".