Search a number
-
+
1331104320 = 263357131693
BaseRepresentation
bin100111101010111…
…0000101001000000
310102202201002212000
41033111300221000
510211230314240
6340030104000
744662125420
oct11725605100
93382632760
101331104320
11623412417
1231194b000
13182a087c0
14c8ada480
157bcd6430
hex4f570a40

1331104320 has 448 divisors, whose sum is σ = 5782909440. Its totient is φ = 280682496.

The previous prime is 1331104303. The next prime is 1331104331. The reversal of 1331104320 is 234011331.

1331104320 is a `hidden beast` number, since 1 + 331 + 10 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 1331104293 and 1331104302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785394 + ... + 787086.

It is an arithmetic number, because the mean of its divisors is an integer number (12908280).

Almost surely, 21331104320 is an apocalyptic number.

1331104320 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 1331104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891454720).

1331104320 is an abundant number, since it is smaller than the sum of its proper divisors (4451805120).

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

1331104320 is a wasteful number, since it uses less digits than its factorization.

1331104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1331104320 is about 36484.3023778720. The cubic root of 1331104320 is about 1100.0287375412.

Adding to 1331104320 its reverse (234011331), we get a palindrome (1565115651).

The spelling of 1331104320 in words is "one billion, three hundred thirty-one million, one hundred four thousand, three hundred twenty".