Search a number
-
+
1120103424 = 210331129127
BaseRepresentation
bin100001011000011…
…0110110000000000
32220001200011001000
41002300312300000
54243221302144
6303051412000
736520502436
oct10260666000
92801604030
101120103424
115252a6310
12273154000
1314b09c1bb
14a8a92d56
1568507769
hex42c36c00

1120103424 has 352 divisors, whose sum is σ = 3773030400. Its totient is φ = 325140480.

The previous prime is 1120103423. The next prime is 1120103461. The reversal of 1120103424 is 4243010211.

It is a tau number, because it is divible by the number of its divisors (352).

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 = 1120103397 and 1120103406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120103423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8819649 + ... + 8819775.

Almost surely, 21120103424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886515200).

1120103424 is an abundant number, since it is smaller than the sum of its proper divisors (2652926976).

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

1120103424 is a wasteful number, since it uses less digits than its factorization.

1120103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

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

The square root of 1120103424 is about 33467.9462172390. The cubic root of 1120103424 is about 1038.5307853691.

Adding to 1120103424 its reverse (4243010211), we get a palindrome (5363113635).

The spelling of 1120103424 in words is "one billion, one hundred twenty million, one hundred three thousand, four hundred twenty-four".