Search a number
-
+
21301423143000 = 233537111337474079
BaseRepresentation
bin1001101011111100111111…
…10000100111100001011000
32210102101200210201010001220
410311332133300213201120
510243000303311034000
6113145423320412040
74325656060145250
oct465763760474130
983371623633056
1021301423143000
116872979045670
122480437617020
13bb693c1a0810
14538dcc820960
1526e173bc31a0
hex135f9fc27858

21301423143000 has 2048 divisors, whose sum is σ = 93618162892800. Its totient is φ = 3889824768000.

The previous prime is 21301423142947. The next prime is 21301423143001. The reversal of 21301423143000 is 34132410312.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301423143001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5222214961 + ... + 5222219039.

It is an arithmetic number, because the mean of its divisors is an integer number (45711993600).

Almost surely, 221301423143000 is an apocalyptic number.

21301423143000 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 21301423143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46809081446400).

21301423143000 is an abundant number, since it is smaller than the sum of its proper divisors (72316739749800).

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

21301423143000 is a wasteful number, since it uses less digits than its factorization.

21301423143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4204 counting only the distinct ones).

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

Adding to 21301423143000 its reverse (34132410312), we get a palindrome (21335555553312).

The spelling of 21301423143000 in words is "twenty-one trillion, three hundred one billion, four hundred twenty-three million, one hundred forty-three thousand".