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20442135021 = 3721147268979
BaseRepresentation
bin10011000010011100…
…100011100111101101
31221202122111001110220
4103002130203213231
5313331141310041
613220241521553
71322401165200
oct230234434755
957678431426
1020442135021
118740063670
123b660432b9
131c0a17c7a9
14dbccd7937
157e99a3d66
hex4c27239ed

20442135021 has 48 divisors (see below), whose sum is σ = 35324605440. Its totient is φ = 10393309920.

The previous prime is 20442134969. The next prime is 20442135053. The reversal of 20442135021 is 12053124402.

It is not a de Polignac number, because 20442135021 - 29 = 20442134509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20442134982 and 20442135000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20442135121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58491 + ... + 210488.

It is an arithmetic number, because the mean of its divisors is an integer number (735929280).

Almost surely, 220442135021 is an apocalyptic number.

20442135021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20442135021 is a deficient number, since it is larger than the sum of its proper divisors (14882470419).

20442135021 is a wasteful number, since it uses less digits than its factorization.

20442135021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269054 (or 269047 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 20442135021 its reverse (12053124402), we get a palindrome (32495259423).

The spelling of 20442135021 in words is "twenty billion, four hundred forty-two million, one hundred thirty-five thousand, twenty-one".

Divisors: 1 3 7 11 21 33 47 49 77 141 147 231 329 517 539 987 1551 1617 2303 3619 6909 10857 25333 75999 268979 806937 1882853 2958769 5648559 8876307 12642013 13179971 20711383 37926039 39539913 62134149 88494091 139062143 144979681 265482273 417186429 434939043 619458637 973435001 1858375911 2920305003 6814045007 20442135021