Search a number
-
+
21041040120 = 23353779223269
BaseRepresentation
bin10011100110001001…
…001100101011111000
32000022101102120211020
4103212021030223320
5321043001240440
613355514302440
71343262614202
oct234611145370
960271376736
1021041040120
118a18133961
1240b2727a20
131ca4283bc9
141038677772
158323573d0
hex4e624caf8

21041040120 has 256 divisors, whose sum is σ = 66189312000. Its totient is φ = 5346072576.

The previous prime is 21041040101. The next prime is 21041040127. The reversal of 21041040120 is 2104014012.

It is a super-2 number, since 2×210410401202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21041040120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21041040127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 78219346 + ... + 78219614.

It is an arithmetic number, because the mean of its divisors is an integer number (258552000).

Almost surely, 221041040120 is an apocalyptic number.

21041040120 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 21041040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33094656000).

21041040120 is an abundant number, since it is smaller than the sum of its proper divisors (45148271880).

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

21041040120 is a wasteful number, since it uses less digits than its factorization.

21041040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21041040120 its reverse (2104014012), we get a palindrome (23145054132).

The spelling of 21041040120 in words is "twenty-one billion, forty-one million, forty thousand, one hundred twenty".