Search a number
1101031200 = 253252374133
BaseRepresentation
bin100000110100000…
…0110011100100000
32211201210011212100
41001220012130200
54223330444300
6301130530400
736166416333
oct10150063440
92751704770
101101031200
1151555a045
12268896a00
13147152169
14a632a61a
15669db700
hex41a06720

1101031200 has 216 divisors, whose sum is σ = 3988408788. Its totient is φ = 285603840.

The previous prime is 1101031159. The next prime is 1101031201. The reversal of 1101031200 is 21301011.

Adding to 1101031200 its reverse (21301011), we get a palindrome (1122332211).

It can be written as a sum of positive squares in 6 ways, for example, as 775733904 + 325297296 = 27852^2 + 18036^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1101031201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 264334 + ... + 268466.

Almost surely, 21101031200 is an apocalyptic number.

1101031200 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 1101031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994204394).

1101031200 is an abundant number, since it is smaller than the sum of its proper divisors (2887377588).

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

1101031200 is a wasteful number, since it uses less digits than its factorization.

1101031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1101031200 is about 33181.7901867877. The cubic root of 1101031200 is about 1032.6025866055.

The spelling of 1101031200 in words is "one billion, one hundred one million, thirty-one thousand, two hundred".