Search a number
-
+
112341003100000 = 255517142746309
BaseRepresentation
bin11001100010110001101101…
…100101010101111101100000
3112201202200202122212221211121
4121202301231211111331200
5104211043333243200000
61034532424440422024
732443240532533003
oct3142615545257540
9481680678787747
10112341003100000
1132882608587184
1210724532777914
134a8b93249ab7c
141da549541753a
15cec3a997ab1a
hex662c6d955f60

112341003100000 has 288 divisors, whose sum is σ = 292919498514720. Its totient is φ = 42262533120000.

The previous prime is 112341003099989. The next prime is 112341003100009. The reversal of 112341003100000 is 1300143211.

It is a super-2 number, since 2×1123410031000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112341003100009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2425876846 + ... + 2425923154.

It is an arithmetic number, because the mean of its divisors is an integer number (1017081592065).

Almost surely, 2112341003100000 is an apocalyptic number.

112341003100000 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 112341003100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146459749257360).

112341003100000 is an abundant number, since it is smaller than the sum of its proper divisors (180578495414720).

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

112341003100000 is an equidigital number, since it uses as much as digits as its factorization.

112341003100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47788 (or 47760 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 112341003100000 its reverse (1300143211), we get a palindrome (112342303243211).

The spelling of 112341003100000 in words is "one hundred twelve trillion, three hundred forty-one billion, three million, one hundred thousand".