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100033213001 is a prime number
BaseRepresentation
bin101110100101001110…
…0011011001001001001
3100120012111010201220212
41131022130123021021
53114332000304001
6113542110530505
710140626165261
oct1351234331111
9316174121825
10100033213001
1139473160567
1217478b06a35
13958266acc7
144bad6287a1
1529070ea7bb
hex174a71b249

100033213001 has 2 divisors, whose sum is σ = 100033213002. Its totient is φ = 100033213000.

The previous prime is 100033212977. The next prime is 100033213057. The reversal of 100033213001 is 100312330001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73162135225 + 26871077776 = 270485^2 + 163924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100033213001 is a prime.

It is not a weakly prime, because it can be changed into another prime (100033213081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016606500 + 50016606501.

It is an arithmetic number, because the mean of its divisors is an integer number (50016606501).

Almost surely, 2100033213001 is an apocalyptic number.

It is an amenable number.

100033213001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100033213001 is an equidigital number, since it uses as much as digits as its factorization.

100033213001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100033213001 its reverse (100312330001), we get a palindrome (200345543002).

The spelling of 100033213001 in words is "one hundred billion, thirty-three million, two hundred thirteen thousand, one".