Search a number
-
+
23310214341000 = 2335337229917039
BaseRepresentation
bin1010100110011010101010…
…00010111010000110001000
310001112102201220202002112220
411103031111002322012020
511023403304332403000
6121324321543334040
74624051561460226
oct523152502720610
9101472656662486
1023310214341000
117477896332644
122745813751320
1310011b3b686a2
145a8312a91b16
152a65438851a0
hex1533550ba188

23310214341000 has 256 divisors, whose sum is σ = 75019741056000. Its totient is φ = 6021638323200.

The previous prime is 23310214340921. The next prime is 23310214341019. The reversal of 23310214341000 is 14341201332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 24960481 + ... + 25877519.

It is an arithmetic number, because the mean of its divisors is an integer number (293045863500).

Almost surely, 223310214341000 is an apocalyptic number.

23310214341000 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 23310214341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37509870528000).

23310214341000 is an abundant number, since it is smaller than the sum of its proper divisors (51709526715000).

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

23310214341000 is a wasteful number, since it uses less digits than its factorization.

23310214341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917329 (or 917315 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23310214341000 its reverse (14341201332), we get a palindrome (23324555542332).

The spelling of 23310214341000 in words is "twenty-three trillion, three hundred ten billion, two hundred fourteen million, three hundred forty-one thousand".