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313112000322 = 232112143761249
BaseRepresentation
bin1001000111001101110…
…11011111011101000010
31002221012022110122202200
410203212323133131002
520112223133002242
6355501444454030
731423131042462
oct4434673373502
91087168418680
10313112000322
1111087661a200
12508246aa316
13236ac486294
1411224703ba2
15822888604c
hex48e6edf742

313112000322 has 36 divisors (see below), whose sum is σ = 745689603750. Its totient is φ = 94882423680.

The previous prime is 313112000237. The next prime is 313112000347. The reversal of 313112000322 is 223000211313.

313112000322 is a `hidden beast` number, since 31 + 311 + 2 + 0 + 0 + 0 + 322 = 666.

It can be written as a sum of positive squares in only one way, i.e., 233819635401 + 79292364921 = 483549^2 + 281589^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313112000295 and 313112000304.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 71878447 + ... + 71882802.

Almost surely, 2313112000322 is an apocalyptic number.

313112000322 is an abundant number, since it is smaller than the sum of its proper divisors (432577603428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313112000322 is a wasteful number, since it uses less digits than its factorization.

313112000322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143761279 (or 143761265 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313112000322 its reverse (223000211313), we get a palindrome (536112211635).

The spelling of 313112000322 in words is "three hundred thirteen billion, one hundred twelve million, three hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 143761249 287522498 431283747 862567494 1293851241 1581373739 2587702482 3162747478 4744121217 9488242434 14232363651 17395111129 28464727302 34790222258 52185333387 104370666774 156556000161 313112000322