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12132110003 = 139718475209
BaseRepresentation
bin10110100110010000…
…10100111010110011
31011022111201001012112
423103020110322303
5144321310010003
65323505115535
7606434143046
oct132310247263
934274631175
1012132110003
1151662948a2
122427028bab
1311b463b820
148313aac5d
154b01693d8
hex2d3214eb3

12132110003 has 16 divisors (see below), whose sum is σ = 13209725760. Its totient is φ = 11075291136.

The previous prime is 12132109921. The next prime is 12132110017. The reversal of 12132110003 is 30001123121.

12132110003 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 12132110003 - 214 = 12132093619 is a prime.

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 12132110003.

It is not an unprimeable number, because it can be changed into a prime (12132110093) 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, 2326463 + ... + 2331671.

It is an arithmetic number, because the mean of its divisors is an integer number (825607860).

Almost surely, 212132110003 is an apocalyptic number.

12132110003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12132110003 is a deficient number, since it is larger than the sum of its proper divisors (1077615757).

12132110003 is a wasteful number, since it uses less digits than its factorization.

12132110003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12132110003 its reverse (30001123121), we get a palindrome (42133233124).

The spelling of 12132110003 in words is "twelve billion, one hundred thirty-two million, one hundred ten thousand, three".

Divisors: 1 13 97 1261 1847 5209 24011 67717 179159 505273 2329067 6568549 9621023 125073299 933239231 12132110003