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21432344121 = 37291811867
BaseRepresentation
bin10011111101011101…
…111001111000111001
32001022122201220000000
4103331131321320321
5322343140002441
613502413303213
71356053630166
oct237535717071
961278656000
1021432344121
1190a8aaa3a1
1241a1794b09
13203736c336
14107461706d
1585689e2b6
hex4fd779e39

21432344121 has 64 divisors (see below), whose sum is σ = 33453638400. Its totient is φ = 13711965120.

The previous prime is 21432344119. The next prime is 21432344123. The reversal of 21432344121 is 12144323412.

21432344121 is a `hidden beast` number, since 2 + 14 + 3 + 234 + 412 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (21432344119) and next prime (21432344123).

It is not a de Polignac number, because 21432344121 - 21 = 21432344119 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 (21432344123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11478630 + ... + 11480496.

It is an arithmetic number, because the mean of its divisors is an integer number (522713100).

Almost surely, 221432344121 is an apocalyptic number.

It is an amenable number.

21432344121 is a deficient number, since it is larger than the sum of its proper divisors (12021294279).

21432344121 is an equidigital number, since it uses as much as digits as its factorization.

21432344121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2080 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 21432344121 its reverse (12144323412), we get a palindrome (33576667533).

The spelling of 21432344121 in words is "twenty-one billion, four hundred thirty-two million, three hundred forty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 27 29 81 87 181 243 261 543 729 783 1629 1867 2187 2349 4887 5249 5601 7047 14661 15747 16803 21141 43983 47241 50409 54143 63423 131949 141723 151227 162429 337927 395847 425169 453681 487287 1013781 1275507 1361043 1461861 3041343 3826521 4083129 4385583 9124029 9799883 11479563 13156749 27372087 29399649 39470247 82116261 88198947 118410741 246348783 264596841 739046349 793790523 2381371569 7144114707 21432344121