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12131003321 = 1923187314821
BaseRepresentation
bin10110100110001000…
…00110101110111001
31011022102121211010022
423103010012232321
5144321014101241
65323425300225
7606421553423
oct132304065671
934272554108
1012131003321
1151656a9388
122426794675
1311b4341b98
1483119d813
154aeeeb54b
hex2d3106bb9

12131003321 has 16 divisors (see below), whose sum is σ = 13332685440. Its totient is φ = 10986243840.

The previous prime is 12131003303. The next prime is 12131003323. The reversal of 12131003321 is 12330013121.

12131003321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12131003321 - 26 = 12131003257 is a prime.

It is a super-2 number, since 2×121310033212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12131003321.

It is not an unprimeable number, because it can be changed into a prime (12131003323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 811091 + ... + 825911.

It is an arithmetic number, because the mean of its divisors is an integer number (833292840).

Almost surely, 212131003321 is an apocalyptic number.

It is an amenable number.

12131003321 is a deficient number, since it is larger than the sum of its proper divisors (1201682119).

12131003321 is a wasteful number, since it uses less digits than its factorization.

12131003321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16736.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12131003321 its reverse (12330013121), we get a palindrome (24461016442).

The spelling of 12131003321 in words is "twelve billion, one hundred thirty-one million, three thousand, three hundred twenty-one".

Divisors: 1 19 23 437 1873 14821 35587 43079 281599 340883 818501 6476777 27759733 527434927 638473859 12131003321