Search a number
-
+
23032140300 = 2232521310091951
BaseRepresentation
bin10101011100110100…
…101001001000001100
32012110011000221210100
4111130310221020030
5334132211442200
614325242411100
71443520651041
oct253464511014
965404027710
1023032140300
11984a0519a4
124569500a90
1322309333b0
141186c971c8
158ec05cd00
hex55cd2920c

23032140300 has 216 divisors, whose sum is σ = 77863210880. Its totient is φ = 5660928000.

The previous prime is 23032140253. The next prime is 23032140301. The reversal of 23032140300 is 304123032.

23032140300 is a `hidden beast` number, since 2 + 3 + 0 + 321 + 40 + 300 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23032140301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11804325 + ... + 11806275.

Almost surely, 223032140300 is an apocalyptic number.

23032140300 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 23032140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38931605440).

23032140300 is an abundant number, since it is smaller than the sum of its proper divisors (54831070580).

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

23032140300 is a wasteful number, since it uses less digits than its factorization.

23032140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23032140300 its reverse (304123032), we get a palindrome (23336263332).

The spelling of 23032140300 in words is "twenty-three billion, thirty-two million, one hundred forty thousand, three hundred".