Search a number
-
+
23001120000 = 28325415973
BaseRepresentation
bin10101011010111110…
…010011110100000000
32012100222122221221100
4111122332103310000
5334101241320000
614322213454400
71442663202615
oct253276236400
965328587840
1023001120000
119833594991
12455b041400
132227391ba1
141182b0050c
158e9481a00
hex55af93d00

23001120000 has 270 divisors, whose sum is σ = 82876035242. Its totient is φ = 6133248000.

The previous prime is 23001119989. The next prime is 23001120011. The reversal of 23001120000 is 2110032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23001119989) and next prime (23001120011).

It can be written as a sum of positive squares in 5 ways, for example, as 6242264064 + 16758855936 = 79008^2 + 129456^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 29 ways as a sum of consecutive naturals, for example, 1432014 + ... + 1447986.

Almost surely, 223001120000 is an apocalyptic number.

23001120000 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 23001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41438017621).

23001120000 is an abundant number, since it is smaller than the sum of its proper divisors (59874915242).

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

23001120000 is an equidigital number, since it uses as much as digits as its factorization.

23001120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16015 (or 15983 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 23001120000 its reverse (2110032), we get a palindrome (23003230032).

The spelling of 23001120000 in words is "twenty-three billion, one million, one hundred twenty thousand".