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21202201221012 = 22327233613158897
BaseRepresentation
bin1001101001000100001011…
…01011000001011110010100
32210001220120212011020012100
410310202011223001132110
510234334102003033022
6113032053510322100
74315544211550620
oct464420553013624
983056525136170
1021202201221012
116834891938049
122465166359330
13baa488939a86
14534298c60180
1526b7b7e301ac
hex134885ac1794

21202201221012 has 144 divisors (see below), whose sum is σ = 61524760332672. Its totient is φ = 6030686545920.

The previous prime is 21202201220969. The next prime is 21202201221029. The reversal of 21202201221012 is 21012210220212.

It is a happy number.

21202201221012 is a `hidden beast` number, since 212 + 0 + 220 + 1 + 221 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359958348 + ... + 360017244.

It is an arithmetic number, because the mean of its divisors is an integer number (427255280088).

Almost surely, 221202201221012 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 21202201221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30762380166336).

21202201221012 is an abundant number, since it is smaller than the sum of its proper divisors (40322559111660).

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

21202201221012 is a wasteful number, since it uses less digits than its factorization.

21202201221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65278 (or 65273 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21202201221012 its reverse (21012210220212), we get a palindrome (42214411441224).

The spelling of 21202201221012 in words is "twenty-one trillion, two hundred two billion, two hundred one million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 233 252 466 699 932 1398 1631 2097 2796 3262 4194 4893 6131 6524 8388 9786 12262 14679 18393 19572 24524 29358 36786 42917 55179 58716 58897 73572 85834 110358 117794 128751 171668 176691 220716 235588 257502 353382 386253 412279 515004 530073 706764 772506 824558 1060146 1236837 1428523 1545012 1649116 2120292 2473674 2857046 3710511 4285569 4947348 5714092 7421022 8571138 9999661 12856707 13723001 14842044 17142276 19999322 25713414 27446002 29998983 39998644 41169003 51426828 54892004 59997966 82338006 89996949 96061007 119995932 123507009 164676012 179993898 192122014 247014018 288183021 359987796 361097507 384244028 494028036 576366042 722195014 864549063 1083292521 1152732084 1444390028 1729098126 2166585042 2527682549 3249877563 3458196252 4333170084 5055365098 6499755126 7583047647 10110730196 12999510252 15166095294 22749142941 30332190588 45498285882 84135719131 90996571764 168271438262 252407157393 336542876524 504814314786 588950033917 757221472179 1009628629572 1177900067834 1514442944358 1766850101751 2355800135668 3028885888716 3533700203502 5300550305253 7067400407004 10601100610506 21202201221012