Search a number
-
+
21530023500330 = 23354713133738431
BaseRepresentation
bin1001110010100110110010…
…11001110001101000101010
32211020020202100121111011000
410321103121121301220222
510310221442004002310
6113442431203415430
74351331024134242
oct471233131615052
984206670544130
1021530023500330
116950916a85614
1224b87b5384576
13c023708ccb47
145460b70ccb22
152750a2e4c4c0
hex1394d9671a2a

21530023500330 has 256 divisors, whose sum is σ = 59259413790720. Its totient is φ = 5559597388800.

The previous prime is 21530023500329. The next prime is 21530023500331. The reversal of 21530023500330 is 3300532003512.

21530023500330 is a `hidden beast` number, since 2 + 1 + 5 + 300 + 2 + 350 + 0 + 3 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21530023500329) and next prime (21530023500331).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21530023500294 and 21530023500303.

It is not an unprimeable number, because it can be changed into a prime (21530023500331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 560206215 + ... + 560244645.

It is an arithmetic number, because the mean of its divisors is an integer number (231482085120).

Almost surely, 221530023500330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21530023500330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29629706895360).

21530023500330 is an abundant number, since it is smaller than the sum of its proper divisors (37729390290390).

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

21530023500330 is a wasteful number, since it uses less digits than its factorization.

21530023500330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38962 (or 38956 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 21530023500330 its reverse (3300532003512), we get a palindrome (24830555503842).

The spelling of 21530023500330 in words is "twenty-one trillion, five hundred thirty billion, twenty-three million, five hundred thousand, three hundred thirty".