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413101333201 is a prime number
BaseRepresentation
bin1100000001011101100…
…00100001101011010001
31110111021202001001110211
412000232300201223101
523232012420130301
6513435351124121
741563015252504
oct6005660415321
91414252031424
10413101333201
1114a216a299a7
126808a973641
132cc559cc5cb
1415dcc18913b
15ab2bbb5051
hex602ec21ad1

413101333201 has 2 divisors, whose sum is σ = 413101333202. Its totient is φ = 413101333200.

The previous prime is 413101333187. The next prime is 413101333223. The reversal of 413101333201 is 102333101314.

It is an a-pointer prime, because the next prime (413101333223) can be obtained adding 413101333201 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 225958573201 + 187142760000 = 475351^2 + 432600^2 .

It is a cyclic number.

It is not a de Polignac number, because 413101333201 - 221 = 413099236049 is a prime.

It is a super-2 number, since 2×4131013332012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413101334201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206550666600 + 206550666601.

It is an arithmetic number, because the mean of its divisors is an integer number (206550666601).

Almost surely, 2413101333201 is an apocalyptic number.

It is an amenable number.

413101333201 is a deficient number, since it is larger than the sum of its proper divisors (1).

413101333201 is an equidigital number, since it uses as much as digits as its factorization.

413101333201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 413101333201 its reverse (102333101314), we get a palindrome (515434434515).

The spelling of 413101333201 in words is "four hundred thirteen billion, one hundred one million, three hundred thirty-three thousand, two hundred one".