Search a number
-
+
23300001120 = 25351137119267
BaseRepresentation
bin10101101100110010…
…011100110101100000
32020010211001200202110
4111230302130311200
5340204300013440
614412011515320
71453252512264
oct255462346540
966124050673
1023300001120
119977274780
124623158b40
13227428a616
1411b06a20a4
1591581e080
hex56cc9cd60

23300001120 has 192 divisors, whose sum is σ = 82231946496. Its totient is φ = 5495777280.

The previous prime is 23300001119. The next prime is 23300001149. The reversal of 23300001120 is 2110000332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 23300001096 and 23300001105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135727 + ... + 254993.

It is an arithmetic number, because the mean of its divisors is an integer number (428291388).

Almost surely, 223300001120 is an apocalyptic number.

23300001120 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 23300001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41115973248).

23300001120 is an abundant number, since it is smaller than the sum of its proper divisors (58931945376).

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

23300001120 is a wasteful number, since it uses less digits than its factorization.

23300001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119333 (or 119325 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 23300001120 its reverse (2110000332), we get a palindrome (25410001452).

The spelling of 23300001120 in words is "twenty-three billion, three hundred million, one thousand, one hundred twenty".