Search a number
-
+
23110012223200 = 2552719352961547
BaseRepresentation
bin1010100000100101110000…
…00100011011111011100000
310000211021222111010202120001
411100102320010123323200
511012113301112120300
6121052332033225344
74603433434525420
oct520227004337340
9100737874122501
1023110012223200
1173aa9a0472341
122712a60402254
13cb8359a002a6
1459c75dbda480
152a12277d916a
hex1504b811bee0

23110012223200 has 288 divisors, whose sum is σ = 67890792211200. Its totient is φ = 7504160993280.

The previous prime is 23110012223171. The next prime is 23110012223203. The reversal of 23110012223200 is 232221001132.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23110012223203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375454827 + ... + 375516373.

It is an arithmetic number, because the mean of its divisors is an integer number (235731917400).

Almost surely, 223110012223200 is an apocalyptic number.

23110012223200 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 23110012223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33945396105600).

23110012223200 is an abundant number, since it is smaller than the sum of its proper divisors (44780779988000).

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

23110012223200 is a wasteful number, since it uses less digits than its factorization.

23110012223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65122 (or 65109 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 23110012223200 its reverse (232221001132), we get a palindrome (23342233224332).

The spelling of 23110012223200 in words is "twenty-three trillion, one hundred ten billion, twelve million, two hundred twenty-three thousand, two hundred".