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21301300311231 = 3295313921811321
BaseRepresentation
bin1001101011111100110000…
…11100000011010010111111
32210102101101020120121120010
410311332120130003102333
510243000030334424411
6113145403211554303
74325653036121163
oct465763034032277
983371336517503
1021301300311231
11687291577a306
12248040245b993
13bb691c8c49b5
14538dba3a8ca3
1526e16800d7a6
hex135f987034bf

21301300311231 has 96 divisors (see below), whose sum is σ = 30341915997120. Its totient is φ = 13271856998400.

The previous prime is 21301300311223. The next prime is 21301300311349. The reversal of 21301300311231 is 13211300310312.

It is a happy number.

It is not a de Polignac number, because 21301300311231 - 23 = 21301300311223 is a prime.

It is a super-2 number, since 2×213013003112312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21301300311198 and 21301300311207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301300711231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16125132051 + ... + 16125133371.

It is an arithmetic number, because the mean of its divisors is an integer number (316061624970).

Almost surely, 221301300311231 is an apocalyptic number.

21301300311231 is a deficient number, since it is larger than the sum of its proper divisors (9040615685889).

21301300311231 is a wasteful number, since it uses less digits than its factorization.

21301300311231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 21301300311231 its reverse (13211300310312), we get a palindrome (34512600621543).

The spelling of 21301300311231 in words is "twenty-one trillion, three hundred one billion, three hundred million, three hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 29 53 87 139 159 181 417 543 1321 1537 3963 4031 4611 5249 7367 9593 12093 15747 19321 22101 25159 28779 38309 57963 70013 75477 114927 183619 210039 213643 239101 278197 550857 560309 640929 717303 729611 834591 1024013 1333427 1680927 2030377 2188833 3072039 3497101 4000281 5324951 6091131 6933929 9731807 10491303 12672353 15974853 20801787 25523041 29195421 29696377 33235039 38017059 38669383 76569123 89089131 99705117 101415929 116008149 185346353 282222403 304247787 367498237 556039059 740168189 846667209 963816131 1102494711 1352721173 1761457067 2220504567 2891448393 4058163519 4619670421 5284371201 5375044237 13859011263 16125132711 39228914017 51082254943 117686742051 133970442209 153246764829 244842532313 401911326627 734527596939 7100433437077 21301300311231