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105522040201 is a prime number
BaseRepresentation
bin110001001000110011…
…0101000110110001001
3101002101000100001100011
41202101212220312021
53212102120241301
6120250503311521
710423635354034
oct1422146506611
9332330301304
10105522040201
114082a493696
121854b14b5a1
139c4886c356
1451705b401b
152b28e0ea51
hex18919a8d89

105522040201 has 2 divisors, whose sum is σ = 105522040202. Its totient is φ = 105522040200.

The previous prime is 105522040199. The next prime is 105522040207. The reversal of 105522040201 is 102040225501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103828306176 + 1693734025 = 322224^2 + 41155^2 .

It is an emirp because it is prime and its reverse (102040225501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105522040201 - 21 = 105522040199 is a prime.

It is a super-2 number, since 2×1055220402012 (a number of 23 digits) contains 22 as substring.

Together with 105522040199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105522040207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52761020100 + 52761020101.

It is an arithmetic number, because the mean of its divisors is an integer number (52761020101).

Almost surely, 2105522040201 is an apocalyptic number.

It is an amenable number.

105522040201 is a deficient number, since it is larger than the sum of its proper divisors (1).

105522040201 is an equidigital number, since it uses as much as digits as its factorization.

105522040201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 105522040201 its reverse (102040225501), we get a palindrome (207562265702).

The spelling of 105522040201 in words is "one hundred five billion, five hundred twenty-two million, forty thousand, two hundred one".