Search a number
-
+
1123011122112 = 263211529733461
BaseRepresentation
bin10000010101111000101…
…011011101001111000000
310222100200120112212222200
4100111320223131033000
5121344411321401422
62215523145433200
7144064156016055
oct20257053351700
93870616485880
101123011122112
113a32a2557690
1216179219b800
1381b9025c969
143c4d564d02c
151e32ac5b2ac
hex10578add3c0

1123011122112 has 168 divisors, whose sum is σ = 3512304564912. Its totient is φ = 340231987200.

The previous prime is 1123011122111. The next prime is 1123011122159. The reversal of 1123011122112 is 2112211103211.

It is a happy number.

It is a super-2 number, since 2×11230111221122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123011122111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33545062 + ... + 33578522.

Almost surely, 21123011122112 is an apocalyptic number.

1123011122112 is a gapful number since it is divisible by the number (12) 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 1123011122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756152282456).

1123011122112 is an abundant number, since it is smaller than the sum of its proper divisors (2389293442800).

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

1123011122112 is a wasteful number, since it uses less digits than its factorization.

1123011122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38787 (or 38774 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1123011122112 its reverse (2112211103211), we get a palindrome (3235222225323).

The spelling of 1123011122112 in words is "one trillion, one hundred twenty-three billion, eleven million, one hundred twenty-two thousand, one hundred twelve".