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21321142334145 = 32517109255695177
BaseRepresentation
bin1001101100100001101110…
…00111010111001011000001
32210111021121001211210222200
410312100313013113023001
510243311144414143040
6113202444135223413
74330254532412403
oct466206707271301
983437531753880
1021321142334145
116880278008855
12248421b517b69
13bb8762639864
14539d3d6cab73
1526e929e71630
hex1364371d72c1

21321142334145 has 48 divisors (see below), whose sum is σ = 39489563290320. Its totient is φ = 10604190339072.

The previous prime is 21321142334137. The next prime is 21321142334197. The reversal of 21321142334145 is 54143324112312.

21321142334145 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 1 + 1 + 4 + 233 + 414 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 103704609024 + 21217437725121 = 322032^2 + 4606239^2 .

It is not a de Polignac number, because 21321142334145 - 23 = 21321142334137 is a prime.

It is a super-2 number, since 2×213211423341452 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127764204 + ... + 127930973.

It is an arithmetic number, because the mean of its divisors is an integer number (822699235215).

Almost surely, 221321142334145 is an apocalyptic number.

It is an amenable number.

21321142334145 is a deficient number, since it is larger than the sum of its proper divisors (18168420956175).

21321142334145 is a wasteful number, since it uses less digits than its factorization.

21321142334145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255695314 (or 255695311 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 21321142334145 its reverse (54143324112312), we get a palindrome (75464466446457).

The spelling of 21321142334145 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred forty-two million, three hundred thirty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 109 153 255 327 545 765 981 1635 1853 4905 5559 9265 16677 27795 83385 255695177 767085531 1278475885 2301256593 3835427655 4346818009 11506282965 13040454027 21734090045 27870774293 39121362081 65202270135 83612322879 139353871465 195606810405 250836968637 418061614395 473803162981 1254184843185 1421409488943 2369015814905 4264228466829 7107047444715 21321142334145