Search a number
-
+
111201040 = 24511312301
BaseRepresentation
bin1101010000011…
…00101100010000
321202020121011001
412220030230100
5211431413130
615011231344
72520123166
oct650145420
9252217131
10111201040
1157851a95
12312a8554
131a065c42
1410aa9236
159b686ca
hex6a0cb10

111201040 has 40 divisors (see below), whose sum is σ = 260851608. Its totient is φ = 44083200.

The previous prime is 111201023. The next prime is 111201043. The reversal of 111201040 is 40102111.

It can be written as a sum of positive squares in 4 ways, for example, as 698896 + 110502144 = 836^2 + 10512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (111201043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2890 + ... + 15190.

Almost surely, 2111201040 is an apocalyptic number.

111201040 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 111201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130425804).

111201040 is an abundant number, since it is smaller than the sum of its proper divisors (149650568).

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

111201040 is a wasteful number, since it uses less digits than its factorization.

111201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12427 (or 12421 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 111201040 is about 10545.1903728667. The cubic root of 111201040 is about 480.8795216949.

Adding to 111201040 its reverse (40102111), we get a palindrome (151303151).

The spelling of 111201040 in words is "one hundred eleven million, two hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 12301 24602 49204 61505 98408 123010 196816 246020 492040 984080 1390013 2780026 5560052 6950065 11120104 13900130 22240208 27800260 55600520 111201040