Search a number
-
+
1223023230000 = 2432541121353163
BaseRepresentation
bin10001110011000001110…
…111010111110000110000
311022220211120222101010200
4101303001313113300300
5130014222421330000
62333503224155200
7154234440633405
oct21630167276060
94286746871120
101223023230000
11431754802600
12179044008b00
138b43b41b520
14432a21422ac
1521c31088500
hex11cc1dd7c30

1223023230000 has 1800 divisors, whose sum is σ = 5190071782896. Its totient is φ = 266872320000.

The previous prime is 1223023229959. The next prime is 1223023230001. The reversal of 1223023230000 is 323203221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×12230232300002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1223023230001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7503209919 + ... + 7503210081.

Almost surely, 21223023230000 is an apocalyptic number.

1223023230000 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 1223023230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595035891448).

1223023230000 is an abundant number, since it is smaller than the sum of its proper divisors (3967048552896).

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

1223023230000 is a wasteful number, since it uses less digits than its factorization.

1223023230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1223023230000 its reverse (323203221), we get a palindrome (1223346433221).

The spelling of 1223023230000 in words is "one trillion, two hundred twenty-three billion, twenty-three million, two hundred thirty thousand".