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312113220321 = 3714862534301
BaseRepresentation
bin1001000101010110110…
…01011100101011100001
31002211121201002101011210
410202223121130223201
520103201441022241
6355214405300333
731356312412440
oct4425331345341
91084551071153
10312113220321
11110403859a91
12505a61046a9
13235805854b6
141116bbd2d57
1581bad46316
hex48ab65cae1

312113220321 has 8 divisors (see below), whose sum is σ = 475601097664. Its totient is φ = 178350411600.

The previous prime is 312113220311. The next prime is 312113220337. The reversal of 312113220321 is 123022311213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 312113220321 - 27 = 312113220193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 14862534301 = 312113220321 / (3 + 1 + 2 + 1 + 1 + 3 + 2 + 2 + 0 + 3 + 2 + 1).

It is not an unprimeable number, because it can be changed into a prime (312113220311) 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 7 ways as a sum of consecutive naturals, for example, 7431267130 + ... + 7431267171.

It is an arithmetic number, because the mean of its divisors is an integer number (59450137208).

Almost surely, 2312113220321 is an apocalyptic number.

It is an amenable number.

312113220321 is a deficient number, since it is larger than the sum of its proper divisors (163487877343).

312113220321 is a wasteful number, since it uses less digits than its factorization.

312113220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14862534311.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312113220321 its reverse (123022311213), we get a palindrome (435135531534).

The spelling of 312113220321 in words is "three hundred twelve billion, one hundred thirteen million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 21 14862534301 44587602903 104037740107 312113220321