Search a number
-
+
2023231102200 = 23325271129713681
BaseRepresentation
bin11101011100010001111…
…110001001110011111000
321011102022110021010011200
4131130101332021303320
5231122034130232300
64145243132054200
7266113360421010
oct35342176116370
97142273233150
102023231102200
11710058236800
12288148004360
13118a3647a3a9
146dcd3d38c40
153796773c200
hex1d711f89cf8

2023231102200 has 864 divisors, whose sum is σ = 8624096251680. Its totient is φ = 416047104000.

The previous prime is 2023231102163. The next prime is 2023231102229. The reversal of 2023231102200 is 22011323202.

2023231102200 is a `hidden beast` number, since 202 + 3 + 231 + 10 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 147879360 + ... + 147893040.

Almost surely, 22023231102200 is an apocalyptic number.

2023231102200 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 2023231102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312048125840).

2023231102200 is an abundant number, since it is smaller than the sum of its proper divisors (6600865149480).

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

2023231102200 is a wasteful number, since it uses less digits than its factorization.

2023231102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13829 (or 13806 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2023231102200 its reverse (22011323202), we get a palindrome (2045242425402).

The spelling of 2023231102200 in words is "two trillion, twenty-three billion, two hundred thirty-one million, one hundred two thousand, two hundred".