Search a number
-
+
20330303003100 = 22345253186125447
BaseRepresentation
bin1001001111101100001000…
…11111010001100111011100
32122222120001202211120220000
410213312010133101213130
510131042430032044400
6111123340125454300
74165546601151126
oct447660437214734
978876052746800
1020330303003100
116529040043052
122344195411390
13b461a71b73bc
14503dc5b60216
15253c87a72600
hex127d847d19dc

20330303003100 has 360 divisors, whose sum is σ = 67184980698528. Its totient is φ = 5316056179200.

The previous prime is 20330303003063. The next prime is 20330303003107. The reversal of 20330303003100 is 130030303302.

20330303003100 is a `hidden beast` number, since 2 + 0 + 330 + 3 + 0 + 300 + 31 + 0 + 0 = 666.

It is a super-2 number, since 2×203303030031002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330303003107) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 798914577 + ... + 798940023.

Almost surely, 220330303003100 is an apocalyptic number.

20330303003100 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 20330303003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33592490349264).

20330303003100 is an abundant number, since it is smaller than the sum of its proper divisors (46854677695428).

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

20330303003100 is a wasteful number, since it uses less digits than its factorization.

20330303003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27387 (or 27371 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 20330303003100 its reverse (130030303302), we get a palindrome (20460333306402).

The spelling of 20330303003100 in words is "twenty trillion, three hundred thirty billion, three hundred three million, three thousand, one hundred".