Search a number
-
+
10032323023320 = 233513151359118633
BaseRepresentation
bin1001000111111101010100…
…0011001101000111011000
31022112002011211200222010020
42101333111003031013120
52303332144143221240
633200441403350440
72053545213455013
oct221772503150730
938462154628106
1010032323023320
113218758893934
1211603b8822420
1357a075897020
142697d1cba37a
15125e6c98a0d0
hex91fd50cd1d8

10032323023320 has 256 divisors, whose sum is σ = 32717928499200. Its totient is φ = 2446286745600.

The previous prime is 10032323023301. The next prime is 10032323023337. The reversal of 10032323023320 is 2332032323001.

10032323023320 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84506724 + ... + 84625356.

It is an arithmetic number, because the mean of its divisors is an integer number (127804408200).

Almost surely, 210032323023320 is an apocalyptic number.

10032323023320 is a gapful number since it is divisible by the number (10) 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 10032323023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358964249600).

10032323023320 is an abundant number, since it is smaller than the sum of its proper divisors (22685605475880).

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

10032323023320 is a wasteful number, since it uses less digits than its factorization.

10032323023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119170 (or 119166 counting only the distinct ones).

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

Adding to 10032323023320 its reverse (2332032323001), we get a palindrome (12364355346321).

The spelling of 10032323023320 in words is "ten trillion, thirty-two billion, three hundred twenty-three million, twenty-three thousand, three hundred twenty".