Search a number
-
+
21103774720 = 21057361197
BaseRepresentation
bin10011101001111000…
…100000110000000000
32000110202110211111221
4103221320200300000
5321210031242340
613410035044424
71344654061000
oct235170406000
960422424457
1021103774720
118a4a592336
12410b740714
131cb427a782
141042b28000
15837aea44a
hex4e9e20c00

21103774720 has 352 divisors, whose sum is σ = 60309532800. Its totient is φ = 7080837120.

The previous prime is 21103774717. The next prime is 21103774739. The reversal of 21103774720 is 2747730112.

It is a super-2 number, since 2×211037747202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107125662 + ... + 107125858.

It is an arithmetic number, because the mean of its divisors is an integer number (171333900).

Almost surely, 221103774720 is an apocalyptic number.

21103774720 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 21103774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30154766400).

21103774720 is an abundant number, since it is smaller than the sum of its proper divisors (39205758080).

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

21103774720 is an equidigital number, since it uses as much as digits as its factorization.

21103774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The spelling of 21103774720 in words is "twenty-one billion, one hundred three million, seven hundred seventy-four thousand, seven hundred twenty".