Search a number
-
+
23110330320 = 2435571115439
BaseRepresentation
bin10101100001011110…
…111010011111010000
32012122121011102100000
4111201132322133100
5334312221032240
614341114330000
71445460365220
oct254136723720
965577142300
1023110330320
11988a1a7250
12458b729900
132243bab98c
14119340c080
15903d55430
hex5617ba7d0

23110330320 has 480 divisors, whose sum is σ = 100353576960. Its totient is φ = 4801835520.

The previous prime is 23110330303. The next prime is 23110330339. The reversal of 23110330320 is 2303301132.

23110330320 is a `hidden beast` number, since 2 + 3 + 1 + 10 + 330 + 320 = 666.

It is a super-2 number, since 2×231103303202 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23110330293 and 23110330302.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1489161 + ... + 1504599.

It is an arithmetic number, because the mean of its divisors is an integer number (209069952).

Almost surely, 223110330320 is an apocalyptic number.

23110330320 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 23110330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50176788480).

23110330320 is an abundant number, since it is smaller than the sum of its proper divisors (77243246640).

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

23110330320 is a wasteful number, since it uses less digits than its factorization.

23110330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15485 (or 15467 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23110330320 its reverse (2303301132), we get a palindrome (25413631452).

The spelling of 23110330320 in words is "twenty-three billion, one hundred ten million, three hundred thirty thousand, three hundred twenty".