Search a number
-
+
21302203104 = 25327131097457
BaseRepresentation
bin10011110101101101…
…011101001011100000
32000222120212001002100
4103311231131023200
5322111330444404
613441444050400
71352613511260
oct236555351340
960876761070
1021302203104
1190415a1536
124166093a00
132016404610
14106121b7a0
1584a243d39
hex4f5b5d2e0

21302203104 has 288 divisors, whose sum is σ = 75251816640. Its totient is φ = 5565874176.

The previous prime is 21302203093. The next prime is 21302203121. The reversal of 21302203104 is 40130220312.

21302203104 is a `hidden beast` number, since 2 + 130 + 220 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2852944 + ... + 2860400.

It is an arithmetic number, because the mean of its divisors is an integer number (261291030).

Almost surely, 221302203104 is an apocalyptic number.

21302203104 is a gapful number since it is divisible by the number (24) 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 21302203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37625908320).

21302203104 is an abundant number, since it is smaller than the sum of its proper divisors (53949613536).

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

21302203104 is a wasteful number, since it uses less digits than its factorization.

21302203104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7602 (or 7591 counting only the distinct ones).

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

Adding to 21302203104 its reverse (40130220312), we get a palindrome (61432423416).

The spelling of 21302203104 in words is "twenty-one billion, three hundred two million, two hundred three thousand, one hundred four".