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213101200201217 is a prime number
BaseRepresentation
bin110000011101000001111101…
…010101101101011000000001
31000221112021110001011110122112
4300131001331111231120001
5210412422224222414332
62033121201225345105
762613024253521506
oct6035017525553001
91027467401143575
10213101200201217
116199a790a82079
121ba98534938195
1391ba4842bb963
143a8a22024d4ad
1519983b7edadb2
hexc1d07d56d601

213101200201217 has 2 divisors, whose sum is σ = 213101200201218. Its totient is φ = 213101200201216.

The previous prime is 213101200201213. The next prime is 213101200201261. The reversal of 213101200201217 is 712102002101312.

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., 163514759969521 + 49586440231696 = 12787289^2 + 7041764^2 .

It is a cyclic number.

It is not a de Polignac number, because 213101200201217 - 22 = 213101200201213 is a prime.

It is a super-2 number, since 2×2131012002012172 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213101200201192 and 213101200201201.

It is not a weakly prime, because it can be changed into another prime (213101200201213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106550600100608 + 106550600100609.

It is an arithmetic number, because the mean of its divisors is an integer number (106550600100609).

Almost surely, 2213101200201217 is an apocalyptic number.

It is an amenable number.

213101200201217 is a deficient number, since it is larger than the sum of its proper divisors (1).

213101200201217 is an equidigital number, since it uses as much as digits as its factorization.

213101200201217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 213101200201217 its reverse (712102002101312), we get a palindrome (925203202302529).

The spelling of 213101200201217 in words is "two hundred thirteen trillion, one hundred one billion, two hundred million, two hundred one thousand, two hundred seventeen".