Search a number
-
+
23202320323112 = 23721919931674943
BaseRepresentation
bin1010100011010001101100…
…00011111001001000101000
310001011010020121010002112022
411101220312003321020220
511020121323000314422
6121202555424204012
74613212061450300
oct521506603711050
9101133217102468
1023202320323112
117436059a37017
122728922169608
13cc3c7aa72458
145a2dd9474600
152a382b5d7342
hex151a360f9228

23202320323112 has 192 divisors, whose sum is σ = 53566064640000. Its totient is φ = 9368296527744.

The previous prime is 23202320323111. The next prime is 23202320323139. The reversal of 23202320323112 is 21132302320232.

It is a super-2 number, since 2×232023203231122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23202320323111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4693972913 + ... + 4693977855.

It is an arithmetic number, because the mean of its divisors is an integer number (278989920000).

Almost surely, 223202320323112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23202320323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26783032320000).

23202320323112 is an abundant number, since it is smaller than the sum of its proper divisors (30363744316888).

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

23202320323112 is a wasteful number, since it uses less digits than its factorization.

23202320323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8348 (or 8337 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 23202320323112 its reverse (21132302320232), we get a palindrome (44334622643344).

The spelling of 23202320323112 in words is "twenty-three trillion, two hundred two billion, three hundred twenty million, three hundred twenty-three thousand, one hundred twelve".