Search a number
-
+
11231110656 = 293217311461
BaseRepresentation
bin10100111010110110…
…10010011000000000
31001222201022112110100
422131123102120000
5141000131020111
65054241402400
7545213602563
oct123533223000
931881275410
1011231110656
11484373a737
122215339400
13109ca8530c
147878704da
1545aee1756
hex29d6d2600

11231110656 has 240 divisors, whose sum is σ = 34505479008. Its totient is φ = 3504537600.

The previous prime is 11231110651. The next prime is 11231110739. The reversal of 11231110656 is 65601113211.

11231110656 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 1 + 1 + 1 + 0 + 656 = 666.

It is a super-2 number, since 2×112311106562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231110651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24362266 + ... + 24362726.

Almost surely, 211231110656 is an apocalyptic number.

11231110656 is a gapful number since it is divisible by the number (16) 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 11231110656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252739504).

11231110656 is an abundant number, since it is smaller than the sum of its proper divisors (23274368352).

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

11231110656 is a wasteful number, since it uses less digits than its factorization.

11231110656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 11231110656 its reverse (65601113211), we get a palindrome (76832223867).

The spelling of 11231110656 in words is "eleven billion, two hundred thirty-one million, one hundred ten thousand, six hundred fifty-six".