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202120010401 is a prime number
BaseRepresentation
bin1011110000111101001…
…0101001101010100001
3201022201002110101001011
42330033102221222201
511302420210313101
6232504101140521
720413502512231
oct2741722515241
9638632411034
10202120010401
117879a527411
12332096ba741
13160a15c50ba
149ad5899cc1
1553ce640751
hex2f0f4a9aa1

202120010401 has 2 divisors, whose sum is σ = 202120010402. Its totient is φ = 202120010400.

The previous prime is 202120010381. The next prime is 202120010431. The reversal of 202120010401 is 104010021202.

It is a happy number.

202120010401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176231200401 + 25888810000 = 419799^2 + 160900^2 .

It is a cyclic number.

It is not a de Polignac number, because 202120010401 - 217 = 202119879329 is a prime.

It is not a weakly prime, because it can be changed into another prime (202120010431) 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, 101060005200 + 101060005201.

It is an arithmetic number, because the mean of its divisors is an integer number (101060005201).

Almost surely, 2202120010401 is an apocalyptic number.

It is an amenable number.

202120010401 is a deficient number, since it is larger than the sum of its proper divisors (1).

202120010401 is an equidigital number, since it uses as much as digits as its factorization.

202120010401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202120010401 its reverse (104010021202), we get a palindrome (306130031603).

The spelling of 202120010401 in words is "two hundred two billion, one hundred twenty million, ten thousand, four hundred one".