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312212042210020 = 22515610602110501
BaseRepresentation
bin100011011111101001000011…
…1110111101101101011100100
31111221110011212000212000202111
41012333102013313231223210
5311410240230301210040
63024004122050450404
7122522401312524451
oct10677220767555344
91457404760760674
10312212042210020
1190531424527107
122b024951293a04
1310529613c36b14
145715201980828
152616542010dea
hex11bf487dedae4

312212042210020 has 12 divisors (see below), whose sum is σ = 655645288641084. Its totient is φ = 124884816884000.

The previous prime is 312212042209987. The next prime is 312212042210059. The reversal of 312212042210020 is 20012240212213.

It can be written as a sum of positive squares in 2 ways, for example, as 99047837389284 + 213164204820736 = 9952278^2 + 14600144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312212042209973 and 312212042210000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7805301055231 + ... + 7805301055270.

It is an arithmetic number, because the mean of its divisors is an integer number (54637107386757).

Almost surely, 2312212042210020 is an apocalyptic number.

It is an amenable number.

312212042210020 is an abundant number, since it is smaller than the sum of its proper divisors (343433246431064).

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

312212042210020 is a wasteful number, since it uses less digits than its factorization.

312212042210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15610602110510 (or 15610602110508 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 312212042210020 its reverse (20012240212213), we get a palindrome (332224282422233).

The spelling of 312212042210020 in words is "three hundred twelve trillion, two hundred twelve billion, forty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 15610602110501 31221204221002 62442408442004 78053010552505 156106021105010 312212042210020