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1331113320 = 2332547151521
BaseRepresentation
bin100111101010111…
…0010110101101000
310102202201120012100
41033111302311220
510211231111240
6340030213400
744662163565
oct11725626550
93382646170
101331113320
11623419159
12311954260
13182a0c924
14c8add86c
157bcd8e30
hex4f572d68

1331113320 has 192 divisors, whose sum is σ = 4455959040. Its totient is φ = 344448000.

The previous prime is 1331113283. The next prime is 1331113349. The reversal of 1331113320 is 233111331.

It is a happy number.

1331113320 is a `hidden beast` number, since 1 + 331 + 1 + 1 + 332 + 0 = 666.

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 = 1331113293 and 1331113302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2554660 + ... + 2555180.

It is an arithmetic number, because the mean of its divisors is an integer number (23208120).

Almost surely, 21331113320 is an apocalyptic number.

1331113320 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 1331113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227979520).

1331113320 is an abundant number, since it is smaller than the sum of its proper divisors (3124845720).

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

1331113320 is a wasteful number, since it uses less digits than its factorization.

1331113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 729 counting only the distinct ones).

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

The square root of 1331113320 is about 36484.4257183802. The cubic root of 1331113320 is about 1100.0312167450.

Adding to 1331113320 its reverse (233111331), we get a palindrome (1564224651).

The spelling of 1331113320 in words is "one billion, three hundred thirty-one million, one hundred thirteen thousand, three hundred twenty".