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21011220021012 = 22313533491727949
BaseRepresentation
bin1001100011100000011100…
…10011100011111100010100
32202101122122001100001110120
410301300032103203330110
510223221434311133022
6112404230552351540
74266003422255304
oct461601623437424
982348561301416
1021011220021012
116770898a38871
1224341470a55b0
13b95470c51060
14528d3c889604
1526683b64cd5c
hex131c0e4e3f14

21011220021012 has 96 divisors (see below), whose sum is σ = 53809085635200. Its totient is φ = 6341184145920.

The previous prime is 21011220020993. The next prime is 21011220021013. The reversal of 21011220021012 is 21012002211012.

It is a junction number, because it is equal to n+sod(n) for n = 21011220020982 and 21011220021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011220021013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28499614 + ... + 29227562.

It is an arithmetic number, because the mean of its divisors is an integer number (560511308700).

Almost surely, 221011220021012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011220021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26904542817600).

21011220021012 is an abundant number, since it is smaller than the sum of its proper divisors (32797865614188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21011220021012 is a wasteful number, since it uses less digits than its factorization.

21011220021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731513 (or 731511 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21011220021012 its reverse (21012002211012), we get a palindrome (42023222232024).

The spelling of 21011220021012 in words is "twenty-one trillion, eleven billion, two hundred twenty million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2756 3491 4134 6982 8268 10473 13964 20946 41892 45383 90766 136149 181532 185023 272298 370046 544596 555069 727949 740092 1110138 1455898 2183847 2220276 2405299 2911796 4367694 4810598 7215897 8735388 9463337 9621196 14431794 18926674 28390011 28863588 37853348 38581297 56780022 77162594 113560044 115743891 154325188 231487782 462975564 501556861 1003113722 1504670583 2006227444 2541269959 3009341166 5082539918 6018682332 7623809877 10165079836 15247619754 30495239508 33036509467 66073018934 99109528401 132146037868 134687307827 198219056802 269374615654 396438113604 404061923481 538749231308 808123846962 1616247693924 1750935001751 3501870003502 5252805005253 7003740007004 10505610010506 21011220021012