Search a number
-
+
21323035011040 = 2557174003279767
BaseRepresentation
bin1001101100100101001111…
…11011010110011111100000
32210111110110222020202120221
410312102213323112133200
510243324033430323130
6113203400030012424
74330352454042010
oct466224773263740
983443428222527
1021323035011040
116881059411a34
122484669347114
13bb89a47a8109
1453a07cc09c40
1526e9db1d487a
hex1364a7ed67e0

21323035011040 has 192 divisors, whose sum is σ = 60974240431104. Its totient is φ = 6878966980608.

The previous prime is 21323035011029. The next prime is 21323035011049. The reversal of 21323035011040 is 4011053032312.

It is a happy number.

It is a super-2 number, since 2×213230350110402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21323035010996 and 21323035011014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21323035011049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76077237 + ... + 76357003.

It is an arithmetic number, because the mean of its divisors is an integer number (317574168912).

Almost surely, 221323035011040 is an apocalyptic number.

21323035011040 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 21323035011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30487120215552).

21323035011040 is an abundant number, since it is smaller than the sum of its proper divisors (39651205420064).

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

21323035011040 is a wasteful number, since it uses less digits than its factorization.

21323035011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283809 (or 283801 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 21323035011040 its reverse (4011053032312), we get a palindrome (25334088043352).

The spelling of 21323035011040 in words is "twenty-one trillion, three hundred twenty-three billion, thirty-five million, eleven thousand, forty".