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21312130103133 = 3173143714439967
BaseRepresentation
bin1001101100010000111011…
…11100011011011101011101
32210110102022222202001011220
410312020131330123131131
510243134220301300013
6113154354000003553
74326515310620412
oct466103574333535
983412288661156
1021312130103133
116877472923251
1224825253005b9
13bb795749639c
14539726810109
1526e59db7ab23
hex13621df1b75d

21312130103133 has 128 divisors (see below), whose sum is σ = 32304174465024. Its totient is φ = 12432592972800.

The previous prime is 21312130103101. The next prime is 21312130103141. The reversal of 21312130103133 is 33130103121312.

It is not a de Polignac number, because 21312130103133 - 25 = 21312130103101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312130103233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2138264316 + ... + 2138274282.

It is an arithmetic number, because the mean of its divisors is an integer number (252376363008).

Almost surely, 221312130103133 is an apocalyptic number.

It is an amenable number.

21312130103133 is a deficient number, since it is larger than the sum of its proper divisors (10992044361891).

21312130103133 is a wasteful number, since it uses less digits than its factorization.

21312130103133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10575.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 21312130103133 its reverse (33130103121312), we get a palindrome (54442233224445).

The spelling of 21312130103133 in words is "twenty-one trillion, three hundred twelve billion, one hundred thirty million, one hundred three thousand, one hundred thirty-three".

Divisors: 1 3 17 31 43 51 71 93 129 213 443 527 731 1207 1329 1333 1581 2193 2201 3053 3621 3999 6603 7531 9159 9967 13733 19049 22593 22661 29901 31453 37417 41199 51901 57147 67983 94359 94643 112251 155703 169439 233461 283929 308977 323833 428581 508317 534701 590519 700383 707657 926931 971499 975043 1285743 1352479 1604103 1608931 1771557 2122971 2925129 4057437 4415381 4826793 5252609 7285877 10038823 12030169 13246143 13286011 15757827 16575731 21857631 21937367 22992143 30116469 30429251 36090507 39858033 41926849 49727193 65812101 68976429 75061477 91287753 125780547 136876811 189861383 225184431 225862187 313492051 372935239 410630433 517297267 569584149 677586561 712756433 940476153 943306781 1118805717 1551891801 2138269299 2326905787 2829920343 3227643511 5329364867 5885702873 6980717361 9682930533 9718253581 13480158193 15988094601 16036215277 17657108619 29154760743 40440474579 48108645831 100056948841 165210310877 229162689281 300170846523 417884903983 495630932631 687488067843 1253654711949 7104043367711 21312130103133