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1131331320 = 233357263569
BaseRepresentation
bin100001101101110…
…1011111011111000
32220211210120211000
41003123223323320
54304110100240
6304132205000
740015105020
oct10333537370
92824716730
101131331320
11530674a69
12276a69760
13150500922
14aa376a80
15694c4430
hex436ebef8

1131331320 has 256 divisors, whose sum is σ = 4333824000. Its totient is φ = 257154048.

The previous prime is 1131331319. The next prime is 1131331339. The reversal of 1131331320 is 231331311.

It is a happy number.

1131331320 is a `hidden beast` number, since 1 + 1 + 313 + 31 + 320 = 666.

It is a super-2 number, since 2×11313313202 = 2559821111225884800, which contains 22 as substring.

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 = 1131331293 and 1131331302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1987996 + ... + 1988564.

It is an arithmetic number, because the mean of its divisors is an integer number (16929000).

Almost surely, 21131331320 is an apocalyptic number.

1131331320 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 1131331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166912000).

1131331320 is an abundant number, since it is smaller than the sum of its proper divisors (3202492680).

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

1131331320 is a wasteful number, since it uses less digits than its factorization.

1131331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1131331320 is about 33635.2689895592. The cubic root of 1131331320 is about 1041.9893259934.

Adding to 1131331320 its reverse (231331311), we get a palindrome (1362662631).

Subtracting from 1131331320 its reverse (231331311), we obtain a palindrome (900000009).

The spelling of 1131331320 in words is "one billion, one hundred thirty-one million, three hundred thirty-one thousand, three hundred twenty".