Search a number
-
+
21101222304 = 2533236171721
BaseRepresentation
bin10011101001101110…
…110001100110100000
32000110120200011021000
4103221232301212200
5321203403103204
613405504232000
71344623300361
oct235156614640
960416604230
1021101222304
118a490a96a8
12410a90b600
131cb3895a76
141042661b68
15837794039
hex4e9bb19a0

21101222304 has 192 divisors, whose sum is σ = 64362574080. Its totient is φ = 6713118720.

The previous prime is 21101222291. The next prime is 21101222357. The reversal of 21101222304 is 40322210112.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12260164 + ... + 12261884.

It is an arithmetic number, because the mean of its divisors is an integer number (335221740).

Almost surely, 221101222304 is an apocalyptic number.

21101222304 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 21101222304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32181287040).

21101222304 is an abundant number, since it is smaller than the sum of its proper divisors (43261351776).

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

21101222304 is a wasteful number, since it uses less digits than its factorization.

21101222304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21101222304 its reverse (40322210112), we get a palindrome (61423432416).

The spelling of 21101222304 in words is "twenty-one billion, one hundred one million, two hundred twenty-two thousand, three hundred four".