Search a number
-
+
23301020342000 = 245343217935201
BaseRepresentation
bin1010100110001001100010…
…00010100101011011110000
310001111120000011121112221102
411103010301002211123300
511023230442201421000
6121320201352143532
74623305001664352
oct523046102453360
9101446004545842
1023301020342000
1174739a8588065
122743a88697ba8
13100037a1526ab
145a7abd9bb0d2
152a61a66373d5
hex1531310a56f0

23301020342000 has 240 divisors, whose sum is σ = 58006511765280. Its totient is φ = 9052538880000.

The previous prime is 23301020341933. The next prime is 23301020342051. The reversal of 23301020342000 is 24302010332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 661924400 + ... + 661959600.

It is an arithmetic number, because the mean of its divisors is an integer number (241693799022).

Almost surely, 223301020342000 is an apocalyptic number.

23301020342000 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 23301020342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29003255882640).

23301020342000 is an abundant number, since it is smaller than the sum of its proper divisors (34705491423280).

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

23301020342000 is a wasteful number, since it uses less digits than its factorization.

23301020342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35489 (or 35430 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23301020342000 its reverse (24302010332), we get a palindrome (23325322352332).

The spelling of 23301020342000 in words is "twenty-three trillion, three hundred one billion, twenty million, three hundred forty-two thousand".