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312045140020 = 22515602257001
BaseRepresentation
bin1001000101001110101…
…01101111100000110100
31002211102221222112120011
410202213111233200310
520103032023440040
6355203534150004
731354524632545
oct4424725574064
91084387875504
10312045140020
1111037938a279
1250587352304
132356c4396b3
1411162b504cc
1581b4d993ea
hex48a756f834

312045140020 has 12 divisors (see below), whose sum is σ = 655294794084. Its totient is φ = 124818056000.

The previous prime is 312045139969. The next prime is 312045140171. The reversal of 312045140020 is 20041540213.

It can be written as a sum of positive squares in 2 ways, for example, as 246613546404 + 65431593616 = 496602^2 + 255796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312045139973 and 312045140000.

It is a congruent number.

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, 7801128481 + ... + 7801128520.

It is an arithmetic number, because the mean of its divisors is an integer number (54607899507).

Almost surely, 2312045140020 is an apocalyptic number.

It is an amenable number.

312045140020 is an abundant number, since it is smaller than the sum of its proper divisors (343249654064).

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

312045140020 is a wasteful number, since it uses less digits than its factorization.

312045140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15602257010 (or 15602257008 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 312045140020 its reverse (20041540213), we get a palindrome (332086680233).

The spelling of 312045140020 in words is "three hundred twelve billion, forty-five million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 15602257001 31204514002 62409028004 78011285005 156022570010 312045140020