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1331132004 = 2232137269897
BaseRepresentation
bin100111101010111…
…0111011001100100
310102202202111211100
41033111313121210
510211232211004
6340030440100
744662302216
oct11725673144
93382674740
101331132004
116234311a4
12311963030
13182a18297
14c8b065b6
157bcde739
hex4f577664

1331132004 has 36 divisors (see below), whose sum is σ = 3389379084. Its totient is φ = 440470272.

The previous prime is 1331131999. The next prime is 1331132021. The reversal of 1331132004 is 4002311331.

It can be written as a sum of positive squares in 2 ways, for example, as 967085604 + 364046400 = 31098^2 + 19080^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130017 + ... + 139880.

It is an arithmetic number, because the mean of its divisors is an integer number (94149419).

Almost surely, 21331132004 is an apocalyptic number.

It is an amenable number.

1331132004 is an abundant number, since it is smaller than the sum of its proper divisors (2058247080).

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

1331132004 is a wasteful number, since it uses less digits than its factorization.

1331132004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270044 (or 270039 counting only the distinct ones).

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

The square root of 1331132004 is about 36484.6817719437. The cubic root of 1331132004 is about 1100.0363635362.

Adding to 1331132004 its reverse (4002311331), we get a palindrome (5333443335).

The spelling of 1331132004 in words is "one billion, three hundred thirty-one million, one hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 269897 539794 809691 1079588 1619382 2429073 3238764 4858146 9716292 36975889 73951778 110927667 147903556 221855334 332783001 443710668 665566002 1331132004