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20441440201 = 7213277115849
BaseRepresentation
bin10011000010011001…
…111001111111001001
31221202121011202100211
4103002121321333021
5313331002041301
613220215001121
71322362242400
oct230231717711
957677152324
1020441440201
11873a729636
123b659691a1
131c09c98460
14dbcb96637
157e98b8051
hex4c2679fc9

20441440201 has 24 divisors (see below), whose sum is σ = 25700627400. Its totient is φ = 16114920192.

The previous prime is 20441440157. The next prime is 20441440223. The reversal of 20441440201 is 10204414402.

It can be written as a sum of positive squares in 4 ways, for example, as 723663801 + 19717776400 = 26901^2 + 140420^2 .

It is not a de Polignac number, because 20441440201 - 211 = 20441438153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20441440501) 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 in 23 ways as a sum of consecutive naturals, for example, 118525 + ... + 234373.

It is an arithmetic number, because the mean of its divisors is an integer number (1070859475).

Almost surely, 220441440201 is an apocalyptic number.

It is an amenable number.

20441440201 is a deficient number, since it is larger than the sum of its proper divisors (5259187199).

20441440201 is a wasteful number, since it uses less digits than its factorization.

20441440201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116153 (or 116146 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 20441440201 its reverse (10204414402), we get a palindrome (30645854603).

The spelling of 20441440201 in words is "twenty billion, four hundred forty-one million, four hundred forty thousand, two hundred one".

Divisors: 1 7 13 49 91 277 637 1939 3601 13573 25207 115849 176449 810943 1506037 5676601 10542259 32090173 73795813 224631211 417172249 1572418477 2920205743 20441440201