Search a number
-
+
1022323000000 = 26562514073
BaseRepresentation
bin11101110000001110011…
…00110000001011000000
310121201210110002022122211
432320013030300023000
5113222204142000000
62101352041511504
7133601055056461
oct16700714601300
93551713068584
101022323000000
11364623755225
12146171aa2594
137553500c393
14376a3066d68
151b8d63e87ba
hexee073302c0

1022323000000 has 196 divisors, whose sum is σ = 2546535685176. Its totient is φ = 407200000000.

The previous prime is 1022322999991. The next prime is 1022323000007. The reversal of 1022323000000 is 3232201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1022323000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 250997964 + ... + 251002036.

It is an arithmetic number, because the mean of its divisors is an integer number (12992529006).

Almost surely, 21022323000000 is an apocalyptic number.

1022323000000 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 1022323000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273267842588).

1022323000000 is an abundant number, since it is smaller than the sum of its proper divisors (1524212685176).

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

1022323000000 is an frugal number, since it uses more digits than its factorization.

1022323000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 1022323000000 its reverse (3232201), we get a palindrome (1022326232201).

The spelling of 1022323000000 in words is "one trillion, twenty-two billion, three hundred twenty-three million", and thus it is an aban number.