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12135371430213 = 34314832883883
BaseRepresentation
bin1011000010010111110010…
…0000001101100101000101
31120222010111220022021110000
42300211330200031211011
53042311220041231323
641450525045351513
72361515550125163
oct260457440154505
946863456267400
1012135371430213
113959644892a59
12143babb408599
136a048c370595
142dd4d85d4233
15160a07608e43
hexb097c80d945

12135371430213 has 20 divisors (see below), whose sum is σ = 18712926398848. Its totient is φ = 7829271888840.

The previous prime is 12135371430103. The next prime is 12135371430227. The reversal of 12135371430213 is 31203417353121.

12135371430213 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 5 + 3 + 7 + 1 + 430 + 213 = 666.

It is not a de Polignac number, because 12135371430213 - 28 = 12135371429957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135371430293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2416439431 + ... + 2416444452.

Almost surely, 212135371430213 is an apocalyptic number.

It is an amenable number.

12135371430213 is a deficient number, since it is larger than the sum of its proper divisors (6577554968635).

12135371430213 is an equidigital number, since it uses as much as digits as its factorization.

12135371430213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832883926 (or 4832883917 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 12135371430213 its reverse (31203417353121), we get a palindrome (43338788783334).

The spelling of 12135371430213 in words is "twelve trillion, one hundred thirty-five billion, three hundred seventy-one million, four hundred thirty thousand, two hundred thirteen".

Divisors: 1 3 9 27 31 81 93 279 837 2511 4832883883 14498651649 43495954947 130487864841 149819400373 391463594523 449458201119 1348374603357 4045123810071 12135371430213