Search a number
-
+
20232311132000 = 2553111213379081
BaseRepresentation
bin1001001100110101100111…
…01101111100111101100000
32122122012010112211202121202
410212122303231330331200
510122441233122211000
6111010332335540332
74155510350041622
oct446326355747540
978565115752552
1020232311132000
1164a05251a6a10
1223291a808a6a8
13b39b8b73a016
144dd36b6b2c12
1525144eca3dd5
hex1266b3b7cf60

20232311132000 has 192 divisors, whose sum is σ = 54274801508928. Its totient is φ = 7351119360000.

The previous prime is 20232311131943. The next prime is 20232311132029. The reversal of 20232311132000 is 23111323202.

It is a super-2 number, since 2×202323111320002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53182460 + ... + 53561540.

It is an arithmetic number, because the mean of its divisors is an integer number (282681257859).

Almost surely, 220232311132000 is an apocalyptic number.

20232311132000 is a gapful number since it is divisible by the number (20) 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 20232311132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27137400754464).

20232311132000 is an abundant number, since it is smaller than the sum of its proper divisors (34042490376928).

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

20232311132000 is a wasteful number, since it uses less digits than its factorization.

20232311132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380330 (or 380312 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20232311132000 its reverse (23111323202), we get a palindrome (20255422455202).

The spelling of 20232311132000 in words is "twenty trillion, two hundred thirty-two billion, three hundred eleven million, one hundred thirty-two thousand".