Search a number
-
+
23301021040 = 2451131259467
BaseRepresentation
bin10101101100110110…
…010101110101110000
32020010212222111211021
4111230312111311300
5340210030133130
614412045425224
71453264260643
oct255466256560
966125874737
1023301021040
119977900a90
12462356b214
13227455691b
1411b0889a5a
1591597137a
hex56cd95d70

23301021040 has 240 divisors, whose sum is σ = 62235838080. Its totient is φ = 8043532800.

The previous prime is 23301021001. The next prime is 23301021041. The reversal of 23301021040 is 4012010332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301021041) 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, 49894887 + ... + 49895353.

It is an arithmetic number, because the mean of its divisors is an integer number (259315992).

Almost surely, 223301021040 is an apocalyptic number.

23301021040 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 23301021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31117919040).

23301021040 is an abundant number, since it is smaller than the sum of its proper divisors (38934817040).

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

23301021040 is a wasteful number, since it uses less digits than its factorization.

23301021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23301021040 its reverse (4012010332), we get a palindrome (27313031372).

The spelling of 23301021040 in words is "twenty-three billion, three hundred one million, twenty-one thousand, forty".