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2121123001 is a prime number
BaseRepresentation
bin111111001101101…
…1100010010111001
312110211021012202011
41332123130102321
513321001414001
6550251005521
7103364151034
oct17633342271
95424235664
102121123001
11999356118
124b24398a1
1327a5a548a
141619c801b
15c633ad51
hex7e6dc4b9

2121123001 has 2 divisors, whose sum is σ = 2121123002. Its totient is φ = 2121123000.

The previous prime is 2121122957. The next prime is 2121123073. The reversal of 2121123001 is 1003211212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1341317376 + 779805625 = 36624^2 + 27925^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121123001 - 215 = 2121090233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121123091) 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, 1060561500 + 1060561501.

It is an arithmetic number, because the mean of its divisors is an integer number (1060561501).

Almost surely, 22121123001 is an apocalyptic number.

It is an amenable number.

2121123001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121123001 is an equidigital number, since it uses as much as digits as its factorization.

2121123001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2121123001 is about 46055.6511299102. The cubic root of 2121123001 is about 1284.8584482754.

Adding to 2121123001 its reverse (1003211212), we get a palindrome (3124334213).

The spelling of 2121123001 in words is "two billion, one hundred twenty-one million, one hundred twenty-three thousand, one".