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312322240201 is a prime number
BaseRepresentation
bin1001000101101111101…
…10110010111011001001
31002212011021101200112211
410202313312302323021
520104113443141301
6355251233305121
731364431145026
oct4426766627311
91085137350484
10312322240201
11110500842794
12506441051a1
13235b497a1ba
141118b88254d
1581ce383051
hex48b7db2ec9

312322240201 has 2 divisors, whose sum is σ = 312322240202. Its totient is φ = 312322240200.

The previous prime is 312322240183. The next prime is 312322240229. The reversal of 312322240201 is 102042223213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163943200201 + 148379040000 = 404899^2 + 385200^2 .

It is a cyclic number.

It is not a de Polignac number, because 312322240201 - 211 = 312322238153 is a prime.

It is a super-2 number, since 2×3123222402012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312322240501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156161120100 + 156161120101.

It is an arithmetic number, because the mean of its divisors is an integer number (156161120101).

Almost surely, 2312322240201 is an apocalyptic number.

It is an amenable number.

312322240201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312322240201 is an equidigital number, since it uses as much as digits as its factorization.

312322240201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 312322240201 its reverse (102042223213), we get a palindrome (414364463414).

The spelling of 312322240201 in words is "three hundred twelve billion, three hundred twenty-two million, two hundred forty thousand, two hundred one".