Search a number
-
+
21104179200 = 2113252132271
BaseRepresentation
bin10011101001111010…
…000011100000000000
32000110210020101100200
4103221322003200000
5321210132213300
613410051445200
71344660364146
oct235172034000
960423211320
1021104179200
118a4a839215
12410b8b6800
131cb438c900
141042bd1596
15837b7a200
hex4e9e83800

21104179200 has 648 divisors, whose sum is σ = 82144586160. Its totient is φ = 5175705600.

The previous prime is 21104179189. The next prime is 21104179249. The reversal of 21104179200 is 297140112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 77875065 + ... + 77875335.

Almost surely, 221104179200 is an apocalyptic number.

21104179200 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 21104179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41072293080).

21104179200 is an abundant number, since it is smaller than the sum of its proper divisors (61040406960).

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

21104179200 is a wasteful number, since it uses less digits than its factorization.

21104179200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 21104179200 in words is "twenty-one billion, one hundred four million, one hundred seventy-nine thousand, two hundred".