Search a number
-
+
20334100104 = 2332282418057
BaseRepresentation
bin10010111100000000…
…011011111010001000
31221111010012022102200
4102330000123322020
5313121012200404
613201422200200
71316616666453
oct227400337210
957433168380
1020334100104
11869508440a
123b35a23060
131bc09849c6
14dac81449a
157e0263839
hex4bc01be88

20334100104 has 24 divisors (see below), whose sum is σ = 55071521310. Its totient is φ = 6778033344.

The previous prime is 20334100051. The next prime is 20334100109. The reversal of 20334100104 is 40100143302.

It can be written as a sum of positive squares in only one way, i.e., 12730608900 + 7603491204 = 112830^2 + 87198^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (20334100109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141208957 + ... + 141209100.

Almost surely, 220334100104 is an apocalyptic number.

20334100104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20334100104 is an abundant number, since it is smaller than the sum of its proper divisors (34737421206).

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

20334100104 is a wasteful number, since it uses less digits than its factorization.

20334100104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282418069 (or 282418062 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20334100104 its reverse (40100143302), we get a palindrome (60434243406).

The spelling of 20334100104 in words is "twenty billion, three hundred thirty-four million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 282418057 564836114 847254171 1129672228 1694508342 2259344456 2541762513 3389016684 5083525026 6778033368 10167050052 20334100104