Search a number
-
+
20301233210000 = 245412731351071
BaseRepresentation
bin1001001110110101111111…
…10010110100001010010000
32122212210000211220002111022
410213122333302310022100
510130103411200210000
6111102131403135012
74163500325040551
oct447327762641220
978783024802438
1020301233210000
116517782993256
12233a621b14468
13b43523763bb2
14502829096328
15253135940585
hex1276bfcb4290

20301233210000 has 200 divisors, whose sum is σ = 49697576484864. Its totient is φ = 8030655360000.

The previous prime is 20301233209997. The next prime is 20301233210047. The reversal of 20301233210000 is 1233210302.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 397484465 + ... + 397535535.

Almost surely, 220301233210000 is an apocalyptic number.

20301233210000 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 20301233210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24848788242432).

20301233210000 is an abundant number, since it is smaller than the sum of its proper divisors (29396343274864).

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

20301233210000 is a wasteful number, since it uses less digits than its factorization.

20301233210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51539 (or 51518 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 20301233210000 its reverse (1233210302), we get a palindrome (20302466420302).

The spelling of 20301233210000 in words is "twenty trillion, three hundred one billion, two hundred thirty-three million, two hundred ten thousand".