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201330123121 is a prime number
BaseRepresentation
bin1011101110000000110…
…1011110000101110001
3201020200001010221101201
42323200031132011301
511244311002414441
6232253443131201
720355101544661
oct2734015360561
9636601127351
10201330123121
1178424673406
1233029073b01
1315ca6a7318a
149a5ca041a1
155385114c31
hex2ee035e171

201330123121 has 2 divisors, whose sum is σ = 201330123122. Its totient is φ = 201330123120.

The previous prime is 201330123091. The next prime is 201330123133. The reversal of 201330123121 is 121321033102.

201330123121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127720464400 + 73609658721 = 357380^2 + 271311^2 .

It is a cyclic number.

It is not a de Polignac number, because 201330123121 - 223 = 201321734513 is a prime.

It is not a weakly prime, because it can be changed into another prime (201330123161) 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, 100665061560 + 100665061561.

It is an arithmetic number, because the mean of its divisors is an integer number (100665061561).

Almost surely, 2201330123121 is an apocalyptic number.

It is an amenable number.

201330123121 is a deficient number, since it is larger than the sum of its proper divisors (1).

201330123121 is an equidigital number, since it uses as much as digits as its factorization.

201330123121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 201330123121 its reverse (121321033102), we get a palindrome (322651156223).

The spelling of 201330123121 in words is "two hundred one billion, three hundred thirty million, one hundred twenty-three thousand, one hundred twenty-one".