Search a number
-
+
23210132101200 = 243252112937546239
BaseRepresentation
bin1010100011100000001111…
…01011011101100001010000
310001011212102000100112111200
411101300013223131201100
511020233322304214300
6121210330521511200
74613606465456442
oct521600753354120
9101155360315450
1023210132101200
1174393a8536570
12272a342342500
13cc49242c3255
145a353ab44492
152a3b37303200
hex151c07add850

23210132101200 has 720 divisors, whose sum is σ = 93354732057600. Its totient is φ = 5285835878400.

The previous prime is 23210132101139. The next prime is 23210132101207. The reversal of 23210132101200 is 210123101232.

23210132101200 is a `hidden beast` number, since 2 + 321 + 0 + 1 + 321 + 0 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23210132101207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42217681 + ... + 42763919.

It is an arithmetic number, because the mean of its divisors is an integer number (129659350080).

Almost surely, 223210132101200 is an apocalyptic number.

23210132101200 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 23210132101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46677366028800).

23210132101200 is an abundant number, since it is smaller than the sum of its proper divisors (70144599956400).

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

23210132101200 is a wasteful number, since it uses less digits than its factorization.

23210132101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546340 (or 546326 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23210132101200 its reverse (210123101232), we get a palindrome (23420255202432).

It can be divided in two parts, 23210132 and 101200, that added together give a palindrome (23311332).

The spelling of 23210132101200 in words is "twenty-three trillion, two hundred ten billion, one hundred thirty-two million, one hundred one thousand, two hundred".