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21210110010 = 2345175926107
BaseRepresentation
bin10011110000001110…
…001001100000111010
32000202011120020010000
4103300032021200322
5321414242010020
613424354133430
71350414650265
oct236016114072
960664506100
1021210110010
118aa4610641
12413b281276
1320002cba6b
141052cc7cdc
15842102090
hex4f038983a

21210110010 has 160 divisors (see below), whose sum is σ = 61412281920. Its totient is φ = 5232895488.

The previous prime is 21210110003. The next prime is 21210110011. The reversal of 21210110010 is 1001101212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21210109974 and 21210110001.

It is not an unprimeable number, because it can be changed into a prime (21210110011) 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, 799377 + ... + 825483.

It is an arithmetic number, because the mean of its divisors is an integer number (383826762).

Almost surely, 221210110010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30706140960).

21210110010 is an abundant number, since it is smaller than the sum of its proper divisors (40202171910).

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

21210110010 is a wasteful number, since it uses less digits than its factorization.

21210110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26202 (or 26193 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21210110010 its reverse (1001101212), we get a palindrome (22211211222).

It can be divided in two parts, 212101 and 10010, that added together give a triangular number (222111 = T666).

The spelling of 21210110010 in words is "twenty-one billion, two hundred ten million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 59 81 85 90 102 118 135 153 162 170 177 255 270 295 306 354 405 459 510 531 590 765 810 885 918 1003 1062 1377 1530 1593 1770 2006 2295 2655 2754 3009 3186 4590 4779 5015 5310 6018 6885 7965 9027 9558 10030 13770 15045 15930 18054 23895 26107 27081 30090 45135 47790 52214 54162 78321 81243 90270 130535 135405 156642 162486 234963 261070 270810 391605 406215 443819 469926 704889 783210 812430 887638 1174815 1331457 1409778 1540313 2114667 2219095 2349630 2662914 3080626 3524445 3994371 4229334 4438190 4620939 6657285 7048890 7701565 7988742 9241878 10573335 11983113 13314570 13862817 15403130 19971855 21146670 23104695 23966226 26185321 27725634 35949339 39943710 41588451 46209390 52370642 59915565 69314085 71898678 78555963 83176902 119831130 124765353 130926605 138628170 157111926 179746695 207942255 235667889 249530706 261853210 359493390 392779815 415884510 471335778 623826765 707003667 785559630 1178339445 1247653530 1414007334 2121011001 2356678890 3535018335 4242022002 7070036670 10605055005 21210110010