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312132110333 = 19199358123053
BaseRepresentation
bin1001000101011001000…
…01100000011111111101
31002211200000122002101212
410202230201200133331
520103221310012313
6355220322214205
731356632106401
oct4425441403775
91084600562355
10312132110333
1111041349136a
12505b04b4365
132358446a614
141117050d101
1581bc8283a8
hex48ac8607fd

312132110333 has 16 divisors (see below), whose sum is σ = 330317712000. Its totient is φ = 294123234240.

The previous prime is 312132110327. The next prime is 312132110413. The reversal of 312132110333 is 333011231213.

It is a cyclic number.

It is not a de Polignac number, because 312132110333 - 220 = 312131061757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312132110299 and 312132110308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132110533) 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 15 ways as a sum of consecutive naturals, for example, 13528235 + ... + 13551287.

It is an arithmetic number, because the mean of its divisors is an integer number (20644857000).

Almost surely, 2312132110333 is an apocalyptic number.

It is an amenable number.

312132110333 is a deficient number, since it is larger than the sum of its proper divisors (18185601667).

312132110333 is a wasteful number, since it uses less digits than its factorization.

312132110333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26852.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 312132110333 its reverse (333011231213), we get a palindrome (645143341546).

The spelling of 312132110333 in words is "three hundred twelve billion, one hundred thirty-two million, one hundred ten thousand, three hundred thirty-three".

Divisors: 1 19 199 3581 3781 23053 68039 438007 712619 4587547 13539761 82552793 87163393 1568503067 16428005807 312132110333