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312323231120 = 2453904040389
BaseRepresentation
bin1001000101101111110…
…10100100110110010000
31002212011100021000211112
410202313322210312100
520104114221343440
6355251310432452
731364442443015
oct4426772446620
91085140230745
10312323231120
1111050135a22a
1250644502728
13235b4c36244
141118ba5d70c
1581ce4cb965
hex48b7ea4d90

312323231120 has 20 divisors (see below), whose sum is σ = 726151512540. Its totient is φ = 124929292416.

The previous prime is 312323231093. The next prime is 312323231147. The reversal of 312323231120 is 21132323213.

It is an interprime number because it is at equal distance from previous prime (312323231093) and next prime (312323231147).

It can be written as a sum of positive squares in 2 ways, for example, as 31758091264 + 280565139856 = 178208^2 + 529684^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1952020115 + ... + 1952020274.

It is an arithmetic number, because the mean of its divisors is an integer number (36307575627).

Almost surely, 2312323231120 is an apocalyptic number.

It is an amenable number.

312323231120 is an abundant number, since it is smaller than the sum of its proper divisors (413828281420).

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

312323231120 is a wasteful number, since it uses less digits than its factorization.

312323231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904040402 (or 3904040396 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 312323231120 its reverse (21132323213), we get a palindrome (333455554333).

The spelling of 312323231120 in words is "three hundred twelve billion, three hundred twenty-three million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3904040389 7808080778 15616161556 19520201945 31232323112 39040403890 62464646224 78080807780 156161615560 312323231120