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11132420040 = 23325741107747
BaseRepresentation
bin10100101111000101…
…10011111111001000
31001201211121112101100
422113202303333020
5140244344420130
65040354221400
7542605003050
oct122742637710
931654545340
1011132420040
1147a2a62a45
1221a8284860
1310854ac7c1
14778700560
154524e9c60
hex2978b3fc8

11132420040 has 192 divisors, whose sum is σ = 42357893760. Its totient is φ = 2482467840.

The previous prime is 11132419973. The next prime is 11132420051. The reversal of 11132420040 is 4002423111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11132419995 and 11132420022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49447 + ... + 157193.

It is an arithmetic number, because the mean of its divisors is an integer number (220614030).

Almost surely, 211132420040 is an apocalyptic number.

11132420040 is a gapful number since it is divisible by the number (10) 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 11132420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21178946880).

11132420040 is an abundant number, since it is smaller than the sum of its proper divisors (31225473720).

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

11132420040 is a wasteful number, since it uses less digits than its factorization.

11132420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107812 (or 107805 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11132420040 its reverse (4002423111), we get a palindrome (15134843151).

The spelling of 11132420040 in words is "eleven billion, one hundred thirty-two million, four hundred twenty thousand, forty".