Search a number
-
+
11312113230 = 232511232937463
BaseRepresentation
bin10101000100100000…
…10010011001001110
31002012100201220002200
422202100102121032
5141131400110410
65110253502330
7550216242645
oct124220223116
932170656080
1011312113230
114885436110
1222384a19a6
1310b37a6b32
1479451835c
154631923c0
hex2a241264e

11312113230 has 384 divisors, whose sum is σ = 35647672320. Its totient is φ = 2458874880.

The previous prime is 11312113223. The next prime is 11312113283. The reversal of 11312113230 is 3231121311.

11312113230 is a `hidden beast` number, since 1 + 131 + 211 + 323 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 191 ways as a sum of consecutive naturals, for example, 24431979 + ... + 24432441.

It is an arithmetic number, because the mean of its divisors is an integer number (92832480).

Almost surely, 211312113230 is an apocalyptic number.

11312113230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312113230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17823836160).

11312113230 is an abundant number, since it is smaller than the sum of its proper divisors (24335559090).

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

11312113230 is a wasteful number, since it uses less digits than its factorization.

11312113230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11312113230 its reverse (3231121311), we get a palindrome (14543234541).

The spelling of 11312113230 in words is "eleven billion, three hundred twelve million, one hundred thirteen thousand, two hundred thirty".