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1331320032 = 25327660377
BaseRepresentation
bin100111101011010…
…0101010011100000
310102210010001202100
41033112211103200
510211304220112
6340034450400
744664014340
oct11726452340
93383101670
101331320032
1162354a499
12311a33a00
13182a82a43
14c8b54d20
157bd2a2dc
hex4f5a54e0

1331320032 has 72 divisors (see below), whose sum is σ = 4326796656. Its totient is φ = 380376576.

The previous prime is 1331320021. The next prime is 1331320037. The reversal of 1331320032 is 2300231331.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1331319987 and 1331320014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331320037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328173 + ... + 332204.

It is an arithmetic number, because the mean of its divisors is an integer number (60094398).

Almost surely, 21331320032 is an apocalyptic number.

1331320032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331320032 is an abundant number, since it is smaller than the sum of its proper divisors (2995476624).

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

1331320032 is a wasteful number, since it uses less digits than its factorization.

1331320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660400 (or 660389 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1331320032 is about 36487.2584884093. The cubic root of 1331320032 is about 1100.0881560202.

Adding to 1331320032 its reverse (2300231331), we get a palindrome (3631551363).

The spelling of 1331320032 in words is "one billion, three hundred thirty-one million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 660377 1320754 1981131 2641508 3962262 4622639 5283016 5943393 7924524 9245278 10566032 11886786 13867917 15849048 18490556 21132064 23773572 27735834 31698096 36981112 41603751 47547144 55471668 63396192 73962224 83207502 95094288 110943336 147924448 166415004 190188576 221886672 332830008 443773344 665660016 1331320032