Search a number
-
+
20442020301 = 344124125541
BaseRepresentation
bin10011000010011100…
…000111100111001101
31221202122021020010000
4103002130013213031
5313331124122201
613220235234513
71322400206553
oct230234074715
957678236100
1020442020301
11873aa9545a
123b65ba8a39
131c0a13c501
14dbcca7bd3
157e997ed86
hex4c27079cd

20442020301 has 40 divisors (see below), whose sum is σ = 31412675448. Its totient is φ = 13239936000.

The previous prime is 20442020281. The next prime is 20442020317. The reversal of 20442020301 is 10302024402.

20442020301 is a `hidden beast` number, since 20 + 442 + 0 + 203 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 944087076 + 19497933225 = 30726^2 + 139635^2 .

It is not a de Polignac number, because 20442020301 - 26 = 20442020237 is a prime.

It is a super-2 number, since 2×204420203012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20442020101) 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 39 ways as a sum of consecutive naturals, for example, 787591 + ... + 813131.

Almost surely, 220442020301 is an apocalyptic number.

It is an amenable number.

20442020301 is a deficient number, since it is larger than the sum of its proper divisors (10970655147).

20442020301 is a wasteful number, since it uses less digits than its factorization.

20442020301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25835 (or 25826 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20442020301 its reverse (10302024402), we get a palindrome (30744044703).

The spelling of 20442020301 in words is "twenty billion, four hundred forty-two million, twenty thousand, three hundred one".

Divisors: 1 3 9 27 41 81 123 241 369 723 1107 2169 3321 6507 9881 19521 25541 29643 76623 88929 229869 266787 689607 800361 1047181 2068821 3141543 6155381 9424629 18466143 28273887 55398429 84821661 166195287 252370621 498585861 757111863 2271335589 6814006767 20442020301