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312303223013 = 3745611850609
BaseRepresentation
bin1001000101101101011…
…10010000000011100101
31002212002221121111212112
410202312232100003211
520104044111114023
6355245313530405
731364110411235
oct4426656200345
91085087544775
10312303223013
111104a1033901
1250639873a05
13235b0a4c222
1411189131cc5
1581cc878478
hex48b6b900e5

312303223013 has 8 divisors (see below), whose sum is σ = 320814347160. Its totient is φ = 303795809280.

The previous prime is 312303223009. The next prime is 312303223049. The reversal of 312303223013 is 310322303213.

It can be written as a sum of positive squares in 4 ways, for example, as 132745092964 + 179558130049 = 364342^2 + 423743^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 312303223013 - 22 = 312303223009 is a prime.

It is a super-2 number, since 2×3123032230132 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312303223013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312603223013) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 756548 + ... + 1094061.

It is an arithmetic number, because the mean of its divisors is an integer number (40101793395).

Almost surely, 2312303223013 is an apocalyptic number.

It is an amenable number.

312303223013 is a deficient number, since it is larger than the sum of its proper divisors (8511124147).

312303223013 is a wasteful number, since it uses less digits than its factorization.

312303223013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855207.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 312303223013 its reverse (310322303213), we get a palindrome (622625526226).

The spelling of 312303223013 in words is "three hundred twelve billion, three hundred three million, two hundred twenty-three thousand, thirteen".

Divisors: 1 37 4561 168757 1850609 68472533 8440627649 312303223013