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312002020201 is a prime number
BaseRepresentation
bin1001000101001001100…
…01010000001101101001
31002211022221211211021211
410202210301100031221
520102440004121301
6355155354033121
731353462262024
oct4424461201551
91084287754254
10312002020201
11110357008763
1250574a187a1
132356351cb01
141115b1281bb
1581b11cd051
hex48a4c50369

312002020201 has 2 divisors, whose sum is σ = 312002020202. Its totient is φ = 312002020200.

The previous prime is 312002020199. The next prime is 312002020229. The reversal of 312002020201 is 102020200213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311994859225 + 7160976 = 558565^2 + 2676^2 .

It is a cyclic number.

It is not a de Polignac number, because 312002020201 - 21 = 312002020199 is a prime.

Together with 312002020199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312002027201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156001010100 + 156001010101.

It is an arithmetic number, because the mean of its divisors is an integer number (156001010101).

Almost surely, 2312002020201 is an apocalyptic number.

It is an amenable number.

312002020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312002020201 is an equidigital number, since it uses as much as digits as its factorization.

312002020201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 312002020201 its reverse (102020200213), we get a palindrome (414022220414).

The spelling of 312002020201 in words is "three hundred twelve billion, two million, twenty thousand, two hundred one".