Search a number
-
+
23120323000200 = 23325237369793901
BaseRepresentation
bin1010100000111000111101…
…01000111011011110001000
310000212021121001200111120200
411100130132220323132020
511012300410142001300
6121101155121052200
74604250104633646
oct520343650733610
9100767531614520
1023120323000200
117404301651748
122714a59487060
13cb9310bbc97a
1459d05b33a196
152a162cad4200
hex15071ea3b788

23120323000200 has 288 divisors, whose sum is σ = 79766704697160. Its totient is φ = 5997100032000.

The previous prime is 23120323000109. The next prime is 23120323000207. The reversal of 23120323000200 is 200032302132.

It is a happy number.

23120323000200 is a `hidden beast` number, since 2 + 31 + 203 + 230 + 0 + 0 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2034097783524 + 21086225216676 = 1426218^2 + 4591974^2 .

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 (23120323000207) 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, 246173250 + ... + 246267150.

Almost surely, 223120323000200 is an apocalyptic number.

23120323000200 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 23120323000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39883352348580).

23120323000200 is an abundant number, since it is smaller than the sum of its proper divisors (56646381696960).

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

23120323000200 is a wasteful number, since it uses less digits than its factorization.

23120323000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97657 (or 97645 counting only the distinct ones).

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

Adding to 23120323000200 its reverse (200032302132), we get a palindrome (23320355302332).

The spelling of 23120323000200 in words is "twenty-three trillion, one hundred twenty billion, three hundred twenty-three million, two hundred", and thus it is an aban number.