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312100340333 = 17891213170057
BaseRepresentation
bin1001000101010101010…
…00010100001001101101
31002211120210212000011012
410202222220110021231
520103140141342313
6355213225235005
731356065056445
oct4425250241155
91084523760135
10312100340333
111103a7562071
12505a1932a65
132357a9c5ac2
141116a1dd125
1581b9b4eda8
hex48aaa1426d

312100340333 has 16 divisors (see below), whose sum is σ = 334449667440. Its totient is φ = 290199883776.

The previous prime is 312100340297. The next prime is 312100340359. The reversal of 312100340333 is 333043001213.

It can be written as a sum of positive squares in 8 ways, for example, as 122229249769 + 189871090564 = 349613^2 + 435742^2 .

It is a cyclic number.

It is not a de Polignac number, because 312100340333 - 26 = 312100340269 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312100340299 and 312100340308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312100340833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1750241 + ... + 1920297.

It is an arithmetic number, because the mean of its divisors is an integer number (20903104215).

Almost surely, 2312100340333 is an apocalyptic number.

It is an amenable number.

312100340333 is a deficient number, since it is larger than the sum of its proper divisors (22349327107).

312100340333 is a wasteful number, since it uses less digits than its factorization.

312100340333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171376.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 312100340333 its reverse (333043001213), we get a palindrome (645143341546).

The spelling of 312100340333 in words is "three hundred twelve billion, one hundred million, three hundred forty thousand, three hundred thirty-three".

Divisors: 1 17 89 1213 1513 20621 107957 170057 1835269 2890969 15135073 206279141 257296241 3506745397 18358843549 312100340333