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312032321322 = 232925761311383
BaseRepresentation
bin1001000101001101001…
…00110101111100101010
31002211102001212021121120
410202212210311330222
520103020233240242
6355202355320110
731354310653341
oct4424644657452
91084361767546
10312032321322
11110372124407
1250582bb0036
132356989bb77
1411161174b58
1581b3bb61ec
hex48a6935f2a

312032321322 has 64 divisors (see below), whose sum is σ = 649210394880. Its totient is φ = 99861479424.

The previous prime is 312032321303. The next prime is 312032321329. The reversal of 312032321322 is 223123230213.

It is a junction number, because it is equal to n+sod(n) for n = 312032321292 and 312032321301.

It is not an unprimeable number, because it can be changed into a prime (312032321329) 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 31 ways as a sum of consecutive naturals, for example, 27406443 + ... + 27417825.

It is an arithmetic number, because the mean of its divisors is an integer number (10143912420).

Almost surely, 2312032321322 is an apocalyptic number.

312032321322 is an abundant number, since it is smaller than the sum of its proper divisors (337178073558).

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

312032321322 is a wasteful number, since it uses less digits than its factorization.

312032321322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12287.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 312032321322 its reverse (223123230213), we get a palindrome (535155551535).

The spelling of 312032321322 in words is "three hundred twelve billion, thirty-two million, three hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 29 58 87 174 257 514 613 771 1226 1542 1839 3678 7453 11383 14906 17777 22359 22766 34149 35554 44718 53331 68298 106662 157541 315082 330107 472623 660214 945246 990321 1980642 2925431 4568689 5850862 6977779 8776293 9137378 13706067 13955558 17552586 20933337 27412134 41866674 84837499 169674998 202355591 254512497 404711182 509024994 607066773 1214133546 1793289203 3586578406 5379867609 10759735218 52005386887 104010773774 156016160661 312032321322