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213765541001 is a prime number
BaseRepresentation
bin1100011100010101101…
…0110100110010001001
3202102202200120121210022
43013011122310302021
512000242434303001
6242111425230225
721305211055415
oct3070532646211
9672680517708
10213765541001
1182726090971
1235519792375
131720919a2cc
14a4bc3a5d45
155861be311b
hex31c56b4c89

213765541001 has 2 divisors, whose sum is σ = 213765541002. Its totient is φ = 213765541000.

The previous prime is 213765540997. The next prime is 213765541009. The reversal of 213765541001 is 100145567312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213606654976 + 158886025 = 462176^2 + 12605^2 .

It is a cyclic number.

It is not a de Polignac number, because 213765541001 - 22 = 213765540997 is a prime.

It is not a weakly prime, because it can be changed into another prime (213765541009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106882770500 + 106882770501.

It is an arithmetic number, because the mean of its divisors is an integer number (106882770501).

Almost surely, 2213765541001 is an apocalyptic number.

It is an amenable number.

213765541001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213765541001 is an equidigital number, since it uses as much as digits as its factorization.

213765541001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 213765541001 in words is "two hundred thirteen billion, seven hundred sixty-five million, five hundred forty-one thousand, one".