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312213101400243 = 3311563448200009
BaseRepresentation
bin100011011111101001100011…
…1000000001101000010110011
31111221110021120211220110121000
41012333103013000031002303
5311410244412424301433
63024004415124533043
7122522436463510551
oct10677230700150263
91457407524813530
10312213101400243
11905319183a842a
122b024ba7b51183
13105297524c94b4
1457152a24d8bd1
1526165a4ed5113
hex11bf4c700d0b3

312213101400243 has 8 divisors (see below), whose sum is σ = 462537928000400. Its totient is φ = 208142067600144.

The previous prime is 312213101400203. The next prime is 312213101400247. The reversal of 312213101400243 is 342004101312213.

312213101400243 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 1 + 3 + 10 + 1 + 400 + 243 = 666.

It is not a de Polignac number, because 312213101400243 - 28 = 312213101399987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 11563448200009 = 312213101400243 / (3 + 1 + 2 + 2 + 1 + 3 + 1 + 0 + 1 + 4 + 0 + 0 + 2 + 4 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312213101400247) 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 7 ways as a sum of consecutive naturals, for example, 5781724099978 + ... + 5781724100031.

It is an arithmetic number, because the mean of its divisors is an integer number (57817241000050).

Almost surely, 2312213101400243 is an apocalyptic number.

312213101400243 is a deficient number, since it is larger than the sum of its proper divisors (150324826600157).

312213101400243 is a wasteful number, since it uses less digits than its factorization.

312213101400243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11563448200018 (or 11563448200012 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 312213101400243 its reverse (342004101312213), we get a palindrome (654217202712456).

The spelling of 312213101400243 in words is "three hundred twelve trillion, two hundred thirteen billion, one hundred one million, four hundred thousand, two hundred forty-three".

Divisors: 1 3 9 27 11563448200009 34690344600027 104071033800081 312213101400243