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1331131032 = 23327111912637
BaseRepresentation
bin100111101010111…
…0111001010011000
310102202202110111100
41033111313022120
510211232143112
6340030431400
744662266330
oct11725671230
93382673440
101331131032
116234304a0
12311962560
13182a179ca
14c8b060c0
157bcde2dc
hex4f577298

1331131032 has 192 divisors, whose sum is σ = 4731667200. Its totient is φ = 327525120.

The previous prime is 1331131007. The next prime is 1331131057. The reversal of 1331131032 is 2301311331.

It is a happy number.

1331131032 is a `hidden beast` number, since 13 + 311 + 310 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (1331131007) and next prime (1331131057).

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 = 1331130996 and 1331131014.

It is a congruent number.

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, 99018 + ... + 111654.

It is an arithmetic number, because the mean of its divisors is an integer number (24644100).

Almost surely, 21331131032 is an apocalyptic number.

1331131032 is a gapful number since it is divisible by the number (12) 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 1331131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365833600).

1331131032 is an abundant number, since it is smaller than the sum of its proper divisors (3400536168).

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

1331131032 is a wasteful number, since it uses less digits than its factorization.

1331131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12686 (or 12679 counting only the distinct ones).

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

The square root of 1331131032 is about 36484.6684512824. The cubic root of 1331131032 is about 1100.0360957852.

Adding to 1331131032 its reverse (2301311331), we get a palindrome (3632442363).

The spelling of 1331131032 in words is "one billion, three hundred thirty-one million, one hundred thirty-one thousand, thirty-two".