Search a number
-
+
23301111120 = 2435723753551
BaseRepresentation
bin10101101100110110…
…101011110101010000
32020010220011002101120
4111230312223311100
5340210041023440
614412051402240
71453265114400
oct255466536520
966126132346
1023301111120
119977962731
1246235b3380
132274588921
1411b08b0800
1591598cdd0
hex56cdabd50

23301111120 has 240 divisors, whose sum is σ = 86299262208. Its totient is φ = 5181926400.

The previous prime is 23301111107. The next prime is 23301111121. The reversal of 23301111120 is 2111110332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23301111120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301111121) 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, 408345 + ... + 461895.

Almost surely, 223301111120 is an apocalyptic number.

23301111120 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 23301111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43149631104).

23301111120 is an abundant number, since it is smaller than the sum of its proper divisors (62998151088).

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

23301111120 is a wasteful number, since it uses less digits than its factorization.

23301111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53618 (or 53605 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 23301111120 its reverse (2111110332), we get a palindrome (25412221452).

It can be divided in two parts, 23301 and 111120, that added together give a triangular number (134421 = T518).

The spelling of 23301111120 in words is "twenty-three billion, three hundred one million, one hundred eleven thousand, one hundred twenty".