Search a number
-
+
1023323100000 = 2535541271307
BaseRepresentation
bin11101110010000101100…
…11110101001101100000
310121211101010221122221120
432321002303311031200
5113231231203200000
62102035205252240
7133634620555065
oct16710263651540
93554333848846
101023323100000
11364a97237153
121463b0a04080
1375664282c26
1437759bdcc6c
151b9440e96a0
hexee42cf5360

1023323100000 has 576 divisors, whose sum is σ = 3463392328704. Its totient is φ = 264384000000.

The previous prime is 1023323099987. The next prime is 1023323100043. The reversal of 1023323100000 is 13233201.

1023323100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10233231000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3333299847 + ... + 3333300153.

It is an arithmetic number, because the mean of its divisors is an integer number (6012833904).

Almost surely, 21023323100000 is an apocalyptic number.

1023323100000 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 1023323100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731696164352).

1023323100000 is an abundant number, since it is smaller than the sum of its proper divisors (2440069228704).

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

1023323100000 is an equidigital number, since it uses as much as digits as its factorization.

1023323100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1023323100000 its reverse (13233201), we get a palindrome (1023336333201).

The spelling of 1023323100000 in words is "one trillion, twenty-three billion, three hundred twenty-three million, one hundred thousand".