Search a number
-
+
11231097408 = 2632131251593
BaseRepresentation
bin10100111010110110…
…01111001001000000
31001222201021212021200
422131123033021000
5141000130104113
65054241221200
7545213516136
oct123533171100
931881255250
1011231097408
114843730793
122215331800
13109ca7c28b
14787869756
1545aedc873
hex29d6cf240

11231097408 has 168 divisors, whose sum is σ = 32621805216. Its totient is φ = 3694080000.

The previous prime is 11231097403. The next prime is 11231097439. The reversal of 11231097408 is 80479013211.

It is a happy number.

11231097408 is a `hidden beast` number, since 11 + 231 + 0 + 9 + 7 + 408 = 666.

It is a super-2 number, since 2×112310974082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11231097403) 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, 18939160 + ... + 18939752.

It is an arithmetic number, because the mean of its divisors is an integer number (194177412).

Almost surely, 211231097408 is an apocalyptic number.

11231097408 is a gapful number since it is divisible by the number (18) 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 11231097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16310902608).

11231097408 is an abundant number, since it is smaller than the sum of its proper divisors (21390707808).

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

11231097408 is a wasteful number, since it uses less digits than its factorization.

11231097408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11231097408 in words is "eleven billion, two hundred thirty-one million, ninety-seven thousand, four hundred eight".