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12102132301313 = 971311516162819
BaseRepresentation
bin1011000000011011111101…
…0010111111111000000001
31120211221201102000120112212
42300012333102333320001
53041240131332120223
641423350503431505
72356231056156635
oct260067722777001
946757642016485
1012102132301313
11394653820049a
121435583755595
1369a2c2bb9782
142dba63cd6dc5
1515ec0e453278
hexb01bf4bfe01

12102132301313 has 16 divisors (see below), whose sum is σ = 12321240402240. Its totient is φ = 11884964582400.

The previous prime is 12102132301297. The next prime is 12102132301349. The reversal of 12102132301313 is 31310323120121.

It is a cyclic number.

It is not a de Polignac number, because 12102132301313 - 24 = 12102132301297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12102132301213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192619418 + ... + 192682236.

It is an arithmetic number, because the mean of its divisors is an integer number (770077525140).

Almost surely, 212102132301313 is an apocalyptic number.

It is an amenable number.

12102132301313 is a deficient number, since it is larger than the sum of its proper divisors (219108100927).

12102132301313 is a wasteful number, since it uses less digits than its factorization.

12102132301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78208.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12102132301313 its reverse (31310323120121), we get a palindrome (43412455421434).

The spelling of 12102132301313 in words is "twelve trillion, one hundred two billion, one hundred thirty-two million, three hundred one thousand, three hundred thirteen".

Divisors: 1 97 131 12707 15161 62819 1470617 1986091 6093443 8229289 192650827 798241033 952398859 92382689323 124764250529 12102132301313