Search a number
-
+
23120003431224 = 233272325971127163
BaseRepresentation
bin1010100000111000010111…
…00101110111101100111000
310000212020202210100201100200
411100130023211313230320
511012244231334244344
6121101103303402200
74604236144431660
oct520341345675470
9100766683321320
1023120003431224
117404158221857
12271498a453360
13cb928c92c9bb
1459d02ab111a0
152a160ea0c069
hex15070b977b38

23120003431224 has 1152 divisors, whose sum is σ = 78232515379200. Its totient is φ = 6038437870080.

The previous prime is 23120003431193. The next prime is 23120003431277. The reversal of 23120003431224 is 42213430002132.

23120003431224 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 0 + 0 + 0 + 3 + 431 + 224 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 141840511767 + ... + 141840511929.

It is an arithmetic number, because the mean of its divisors is an integer number (67910169600).

Almost surely, 223120003431224 is an apocalyptic number.

23120003431224 is a gapful number since it is divisible by the number (24) 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 23120003431224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39116257689600).

23120003431224 is an abundant number, since it is smaller than the sum of its proper divisors (55112511947976).

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

23120003431224 is a wasteful number, since it uses less digits than its factorization.

23120003431224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23120003431224 its reverse (42213430002132), we get a palindrome (65333433433356).

The spelling of 23120003431224 in words is "twenty-three trillion, one hundred twenty billion, three million, four hundred thirty-one thousand, two hundred twenty-four".