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31223102201 is a prime number
BaseRepresentation
bin11101000101000010…
…101011101011111001
32222120222202221011122
4131011002223223321
51002421103232301
622202123235025
72153510663324
oct350502535371
988528687148
1031223102201
11122726998a5
126074678a75
132c378b7a05
141722a6d7bb
15c2b1c981b
hex7450abaf9

31223102201 has 2 divisors, whose sum is σ = 31223102202. Its totient is φ = 31223102200.

The previous prime is 31223102171. The next prime is 31223102221. The reversal of 31223102201 is 10220132213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30609252025 + 613850176 = 174955^2 + 24776^2 .

It is a cyclic number.

It is not a de Polignac number, because 31223102201 - 26 = 31223102137 is a prime.

It is a super-2 number, since 2×312231022012 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31223102201.

It is not a weakly prime, because it can be changed into another prime (31223102221) by changing a digit.

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 as a sum of consecutive naturals, namely, 15611551100 + 15611551101.

It is an arithmetic number, because the mean of its divisors is an integer number (15611551101).

Almost surely, 231223102201 is an apocalyptic number.

It is an amenable number.

31223102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

31223102201 is an equidigital number, since it uses as much as digits as its factorization.

31223102201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 31223102201 its reverse (10220132213), we get a palindrome (41443234414).

The spelling of 31223102201 in words is "thirty-one billion, two hundred twenty-three million, one hundred two thousand, two hundred one".