Search a number
-
+
20232321111200 = 2552115924491471
BaseRepresentation
bin1001001100110101101000…
…10100000001010010100000
32122122012011020121202111202
410212122310110001102200
510122441243201024300
6111010333333500332
74155510530623532
oct446326424012240
978565136552452
1020232321111200
1164a052a8a2490
1223291ab4a16a8
13b39b90822283
144dd36cb4d852
15251450ac5ad5
hex1266b45014a0

20232321111200 has 432 divisors, whose sum is σ = 54970506662400. Its totient is φ = 7211495424000.

The previous prime is 20232321111199. The next prime is 20232321111209. The reversal of 20232321111200 is 211112323202.

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

It is not an unprimeable number, because it can be changed into a prime (20232321111209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13754126465 + ... + 13754127935.

It is an arithmetic number, because the mean of its divisors is an integer number (127246543200).

Almost surely, 220232321111200 is an apocalyptic number.

20232321111200 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 20232321111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27485253331200).

20232321111200 is an abundant number, since it is smaller than the sum of its proper divisors (34738185551200).

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

20232321111200 is a wasteful number, since it uses less digits than its factorization.

20232321111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 20232321111200 its reverse (211112323202), we get a palindrome (20443433434402).

The spelling of 20232321111200 in words is "twenty trillion, two hundred thirty-two billion, three hundred twenty-one million, one hundred eleven thousand, two hundred".