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20432121129 = 367291011367
BaseRepresentation
bin10011000001110110…
…010110110100101001
31221201221122022000000
4103001312112310221
5313321110334004
613215243133213
71322220110160
oct230166266451
957657568000
1020432121129
118735444022
123b62814209
131c08084804
14dbb84c3d7
157e8b76c39
hex4c1d96d29

20432121129 has 112 divisors (see below), whose sum is σ = 36603083520. Its totient is φ = 11153116800.

The previous prime is 20432121119. The next prime is 20432121163. The reversal of 20432121129 is 92112123402.

It is not a de Polignac number, because 20432121129 - 24 = 20432121113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20432121119) 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 111 ways as a sum of consecutive naturals, for example, 14946004 + ... + 14947370.

Almost surely, 220432121129 is an apocalyptic number.

20432121129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

20432121129 is a deficient number, since it is larger than the sum of its proper divisors (16170962391).

20432121129 is a wasteful number, since it uses less digits than its factorization.

20432121129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20432121129 in words is "twenty billion, four hundred thirty-two million, one hundred twenty-one thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 21 27 29 63 81 87 101 189 203 243 261 303 567 609 707 729 783 909 1367 1701 1827 2121 2349 2727 2929 4101 5103 5481 6363 7047 8181 8787 9569 12303 16443 19089 20503 21141 24543 26361 28707 36909 39643 49329 57267 61509 73629 79083 86121 110727 118929 138067 147987 171801 184527 237249 258363 277501 332181 356787 414201 515403 553581 711747 775089 832503 966469 996543 1070361 1242603 1660743 2135241 2325267 2497509 2899407 3211083 3727809 4003943 4982229 6975801 7492527 8698221 9633249 11183427 12011829 14946687 22477581 26094663 28027601 28899747 33550281 36035487 67432743 78283989 84082803 100650843 108106461 202298229 234851967 252248409 324319383 704555901 756745227 972958149 2270235681 2918874447 6810707043 20432121129