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1820059201 = 40142110781
BaseRepresentation
bin110110001111011…
…1110011001000001
311200211202120212001
41230132332121001
512211413343301
6500334104001
763050151022
oct15436763101
94624676761
101820059201
11854415464
1242964b001
132300c440c
14133a18c49
15a9bbbc01
hex6c7be641

1820059201 has 8 divisors (see below), whose sum is σ = 1829101608. Its totient is φ = 1811040000.

The previous prime is 1820059183. The next prime is 1820059211. The reversal of 1820059201 is 1029500281.

It can be written as a sum of positive squares in 4 ways, for example, as 127148176 + 1692911025 = 11276^2 + 41145^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1820059201 - 215 = 1820026433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1820059201.

It is not an unprimeable number, because it can be changed into a prime (1820059211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163431 + ... + 174211.

It is an arithmetic number, because the mean of its divisors is an integer number (228637701).

Almost surely, 21820059201 is an apocalyptic number.

It is an amenable number.

1820059201 is a deficient number, since it is larger than the sum of its proper divisors (9042407).

1820059201 is a wasteful number, since it uses less digits than its factorization.

1820059201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11603.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 1820059201 is about 42662.1518561828. The cubic root of 1820059201 is about 1220.9423877400.

Adding to 1820059201 its reverse (1029500281), we get a palindrome (2849559482).

The spelling of 1820059201 in words is "one billion, eight hundred twenty million, fifty-nine thousand, two hundred one".

Divisors: 1 401 421 10781 168821 4323181 4538801 1820059201