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21221535542031 = 3411113269783553
BaseRepresentation
bin1001101001101000001100…
…00101100110101100001111
32210010202111022002111120000
410310310012011212230033
510240143201044321111
6113045012220055343
74320130301556516
oct464640605465417
983122438074500
1021221535542031
116842003629650
122468a61394553
13bac24a431006
145351b098367d
1526c04a507c56
hex134d06166b0f

21221535542031 has 80 divisors (see below), whose sum is σ = 35019034158240. Its totient is φ = 12700312289280.

The previous prime is 21221535541961. The next prime is 21221535542063. The reversal of 21221535542031 is 13024553512212.

21221535542031 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 53 + 554 + 20 + 31 = 666.

It is not a de Polignac number, because 21221535542031 - 29 = 21221535541519 is a prime.

It is a super-2 number, since 2×212215355420312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221535542071) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26691951 + ... + 27475503.

It is an arithmetic number, because the mean of its divisors is an integer number (437737926978).

Almost surely, 221221535542031 is an apocalyptic number.

21221535542031 is a deficient number, since it is larger than the sum of its proper divisors (13797498616209).

21221535542031 is a wasteful number, since it uses less digits than its factorization.

21221535542031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783958 (or 783949 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 21221535542031 in words is "twenty-one trillion, two hundred twenty-one billion, five hundred thirty-five million, five hundred forty-two thousand, thirty-one".

Divisors: 1 3 9 11 27 33 81 99 113 269 297 339 807 891 1017 1243 2421 2959 3051 3729 7263 8877 9153 11187 21789 26631 30397 33561 79893 91191 100683 239679 273573 334367 783553 820719 1003101 2350659 2462157 3009303 7051977 8619083 9027909 21155931 25857249 27083727 63467793 77571747 88541489 210775757 232715241 265624467 632327271 698145723 796873401 973956379 1896981813 2318533327 2390620203 2921869137 5690945439 6955599981 7171860609 8765607411 17072836317 20866799943 23817660541 26296822233 62600399829 71452981623 78890466699 187801199487 214358944869 261994265951 643076834607 785982797853 1929230503821 2357948393559 7073845180677 21221535542031