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312033213232 = 241317831063189
BaseRepresentation
bin1001000101001101010…
…00001111101100110000
31002211102010112121002021
410202212220033230300
520103021000310412
6355202430401224
731354321356556
oct4424650175460
91084363477067
10312033213232
11110372683524
1250583360214
1323569b21b20
1411161327bd6
1581b3ce0607
hex48a6a0fb30

312033213232 has 80 divisors (see below), whose sum is σ = 697673783520. Its totient is φ = 133910654976.

The previous prime is 312033213221. The next prime is 312033213253. The reversal of 312033213232 is 232312330213.

It is a junction number, because it is equal to n+sod(n) for n = 312033213197 and 312033213206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238107 + ... + 825082.

It is an arithmetic number, because the mean of its divisors is an integer number (8720922294).

Almost surely, 2312033213232 is an apocalyptic number.

It is an amenable number.

312033213232 is an abundant number, since it is smaller than the sum of its proper divisors (385640570288).

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

312033213232 is a wasteful number, since it uses less digits than its factorization.

312033213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063310 (or 1063304 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 312033213232 its reverse (232312330213), we get a palindrome (544345543445).

The spelling of 312033213232 in words is "three hundred twelve billion, thirty-three million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 83 104 136 166 208 221 272 332 442 664 884 1079 1328 1411 1768 2158 2822 3536 4316 5644 8632 11288 17264 18343 22576 36686 73372 146744 293488 1063189 2126378 4252756 8505512 13821457 17011024 18074213 27642914 36148426 55285828 72296852 88244687 110571656 144593704 176489374 221143312 234964769 289187408 352978748 469929538 705957496 939859076 1147180931 1411914992 1500159679 1879718152 2294361862 3000319358 3759436304 4588723724 6000638716 9177447448 12001277432 18354894896 19502075827 24002554864 39004151654 78008303308 156016606616 312033213232