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1331101312 = 2731335459
BaseRepresentation
bin100111101010110…
…1111111010000000
310102202200221201121
41033111233322000
510211230220222
6340030042024
744662113562
oct11725577200
93382627647
101331101312
11623410132
12311949314
13182a07318
14c8ad9332
157bcd55c7
hex4f56fe80

1331101312 has 32 divisors (see below), whose sum is σ = 2737353600. Its totient is φ = 644079360.

The previous prime is 1331101267. The next prime is 1331101327. The reversal of 1331101312 is 2131011331.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 3 ways as a sum of consecutive naturals, for example, 163762 + ... + 171697.

It is an arithmetic number, because the mean of its divisors is an integer number (85542300).

Almost surely, 21331101312 is an apocalyptic number.

It is an amenable number.

1331101312 is an abundant number, since it is smaller than the sum of its proper divisors (1406252288).

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

1331101312 is an equidigital number, since it uses as much as digits as its factorization.

1331101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335504 (or 335492 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1331101312 is about 36484.2611546404. The cubic root of 1331101312 is about 1100.0279089338.

Adding to 1331101312 its reverse (2131011331), we get a palindrome (3462112643).

The spelling of 1331101312 in words is "one billion, three hundred thirty-one million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 335459 670918 1341836 2683672 5367344 10399229 10734688 20798458 21469376 41596916 42938752 83193832 166387664 332775328 665550656 1331101312