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311201201009 is a prime number
BaseRepresentation
bin1001000011101010000…
…10010111101101110001
31002202021010221222212202
410201311002113231301
520044320001413014
6354544105432545
731324566364136
oct4416502275561
91082233858782
10311201201009
1110aa85a68416
125039079b755
13234666410ba
14110c2a2858d
158165c433de
hex4875097b71

311201201009 has 2 divisors, whose sum is σ = 311201201010. Its totient is φ = 311201201008.

The previous prime is 311201200991. The next prime is 311201201041. The reversal of 311201201009 is 900102102113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 306331254784 + 4869946225 = 553472^2 + 69785^2 .

It is a cyclic number.

It is not a de Polignac number, because 311201201009 - 224 = 311184423793 is a prime.

It is not a weakly prime, because it can be changed into another prime (311201201089) 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, 155600600504 + 155600600505.

It is an arithmetic number, because the mean of its divisors is an integer number (155600600505).

Almost surely, 2311201201009 is an apocalyptic number.

It is an amenable number.

311201201009 is a deficient number, since it is larger than the sum of its proper divisors (1).

311201201009 is an equidigital number, since it uses as much as digits as its factorization.

311201201009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 311201201009 in words is "three hundred eleven billion, two hundred one million, two hundred one thousand, nine".