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331132313112 = 233371911952339
BaseRepresentation
bin1001101000110010000…
…01100001111000011000
31011122201011212101200220
410310121001201320120
520411124333004422
6412041534400040
732631524135526
oct4643101417030
91148634771626
10331132313112
11118483615997
1254213660020
13252c1979463
1412053adb316
158930902e5c
hex4d19061e18

331132313112 has 64 divisors (see below), whose sum is σ = 854656358400. Its totient is φ = 106831935360.

The previous prime is 331132313087. The next prime is 331132313117. The reversal of 331132313112 is 211313231133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331132313117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806562 + ... + 1145777.

It is an arithmetic number, because the mean of its divisors is an integer number (13354005600).

Almost surely, 2331132313112 is an apocalyptic number.

It is an amenable number.

331132313112 is an abundant number, since it is smaller than the sum of its proper divisors (523524045288).

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

331132313112 is a wasteful number, since it uses less digits than its factorization.

331132313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952576 (or 1952572 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 331132313112 its reverse (211313231133), we get a palindrome (542445544245).

The spelling of 331132313112 in words is "three hundred thirty-one billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 191 222 296 382 444 573 764 888 1146 1528 2292 4584 7067 14134 21201 28268 42402 56536 84804 169608 1952339 3904678 5857017 7809356 11714034 15618712 23428068 46856136 72236543 144473086 216709629 288946172 372896749 433419258 577892344 745793498 866838516 1118690247 1491586996 1733677032 2237380494 2983173992 4474760988 8949521976 13797179713 27594359426 41391539139 55188718852 82783078278 110377437704 165566156556 331132313112