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21321110121231 = 3537919312896823
BaseRepresentation
bin1001101100100001101010…
…01100011110101100001111
32210111021111211020020011210
410312100311030132230033
510243311113142334411
6113202441024545503
74330253661536244
oct466206514365417
983437454206153
1021321110121231
116880260906808
122484210782293
13bb8758a6b56b
14539d393035cb
1526e92720bca6
hex13643531eb0f

21321110121231 has 64 divisors (see below), whose sum is σ = 29510338867200. Its totient is φ = 13685376466944.

The previous prime is 21321110121193. The next prime is 21321110121271. The reversal of 21321110121231 is 13212101112312.

It is not a de Polignac number, because 21321110121231 - 210 = 21321110120207 is a prime.

It is a super-2 number, since 2×213211101212312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21321110121198 and 21321110121207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321110121271) 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, 3124884486 + ... + 3124891308.

It is an arithmetic number, because the mean of its divisors is an integer number (461099044800).

Almost surely, 221321110121231 is an apocalyptic number.

21321110121231 is a deficient number, since it is larger than the sum of its proper divisors (8189228745969).

21321110121231 is a wasteful number, since it uses less digits than its factorization.

21321110121231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8440.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 21321110121231 its reverse (13212101112312), we get a palindrome (34533211233543).

The spelling of 21321110121231 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred ten million, one hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 53 79 159 193 237 579 1289 3867 4187 6823 10229 12561 15247 20469 30687 45741 68317 101831 204951 248777 305493 361619 539017 746331 808091 1084857 1316839 1617051 2424273 3950517 5397043 8794847 13185181 16191129 19653383 26384541 28567901 39555543 58960149 69792467 85703703 104030281 209377401 312090843 466126891 694792913 1041629299 1398380673 1697405471 2084378739 3124887897 5092216413 5513604893 16540814679 36824024389 89962489963 110472073167 134095032209 269887469889 402285096627 7107036707077 21321110121231