Search a number
-
+
1041323023000 = 235313471918923
BaseRepresentation
bin11110010011100111011…
…00000101101010011000
310200112211120222111100101
433021303230011222120
5114030112143214000
62114213250145144
7135142645436521
oct17116354055230
93615746874311
101041323023000
11371693776777
12149994b821b4
1377272487440
1438586609848
151c149489e6a
hexf273b05a98

1041323023000 has 256 divisors, whose sum is σ = 2694299811840. Its totient is φ = 374295744000.

The previous prime is 1041323022947. The next prime is 1041323023001. The reversal of 1041323023000 is 3203231401.

1041323023000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041323023001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116696539 + ... + 116705461.

It is an arithmetic number, because the mean of its divisors is an integer number (10524608640).

Almost surely, 21041323023000 is an apocalyptic number.

1041323023000 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 1041323023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347149905920).

1041323023000 is an abundant number, since it is smaller than the sum of its proper divisors (1652976788840).

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

1041323023000 is a wasteful number, since it uses less digits than its factorization.

1041323023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9195 (or 9181 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1041323023000 its reverse (3203231401), we get a palindrome (1044526254401).

The spelling of 1041323023000 in words is "one trillion, forty-one billion, three hundred twenty-three million, twenty-three thousand".