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201001022137 is a prime number
BaseRepresentation
bin1011101100110010011…
…0000011001010111001
3201012211002212212201101
42323030212003022321
511243122230202022
6232201045251401
720343664332616
oct2731446031271
9635732785641
10201001022137
1178275922a23
1232b56a03b61
1315c53826676
149a2b01750d
1553662a8627
hex2ecc9832b9

201001022137 has 2 divisors, whose sum is σ = 201001022138. Its totient is φ = 201001022136.

The previous prime is 201001022099. The next prime is 201001022149. The reversal of 201001022137 is 731220100102.

201001022137 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., 114864055056 + 86136967081 = 338916^2 + 293491^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201001022137 is a prime.

It is not a weakly prime, because it can be changed into another prime (201001022437) 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, 100500511068 + 100500511069.

It is an arithmetic number, because the mean of its divisors is an integer number (100500511069).

Almost surely, 2201001022137 is an apocalyptic number.

It is an amenable number.

201001022137 is a deficient number, since it is larger than the sum of its proper divisors (1).

201001022137 is an equidigital number, since it uses as much as digits as its factorization.

201001022137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 201001022137 its reverse (731220100102), we get a palindrome (932221122239).

The spelling of 201001022137 in words is "two hundred one billion, one million, twenty-two thousand, one hundred thirty-seven".