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21020002222212 = 22327219016268333
BaseRepresentation
bin1001100011110000110011…
…10001000000000010000100
32202102111022002121002200200
410301320121301000002010
510223342431032102322
6112412242233410500
74266434151611400
oct461703161000204
982374262532620
1021020002222212
11677459529a594
122435998269a30
13b96240554806
14529532da8100
15266ba26568ac
hex131e19c40084

21020002222212 has 108 divisors (see below), whose sum is σ = 61841339767116. Its totient is φ = 6002554723200.

The previous prime is 21020002222211. The next prime is 21020002222259. The reversal of 21020002222212 is 21222220002012.

21020002222212 is a `hidden beast` number, since 21 + 0 + 200 + 0 + 222 + 221 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2330428177476 + 18689574044736 = 1526574^2 + 4323144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21020002222211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 219198 + ... + 6487530.

Almost surely, 221020002222212 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 21020002222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30920669883558).

21020002222212 is an abundant number, since it is smaller than the sum of its proper divisors (40821337544904).

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

21020002222212 is a wasteful number, since it uses less digits than its factorization.

21020002222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270258 (or 6270246 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21020002222212 its reverse (21222220002012), we get a palindrome (42242222224224).

The spelling of 21020002222212 in words is "twenty-one trillion, twenty billion, two million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 1901 3802 5703 7604 11406 13307 17109 22812 26614 34218 39921 53228 68436 79842 93149 119763 159684 186298 239526 279447 372596 479052 558894 838341 1117788 1676682 3353364 6268333 12536666 18804999 25073332 37609998 43878331 56414997 75219996 87756662 112829994 131634993 175513324 225659988 263269986 307148317 394904979 526539972 614296634 789809958 921444951 1228593268 1579619916 1842889902 2764334853 3685779804 5528669706 11057339412 11916101033 23832202066 35748303099 47664404132 71496606198 83412707231 107244909297 142993212396 166825414462 214489818594 250238121693 333650828924 428979637188 500476243386 583888950617 750714365079 1000952486772 1167777901234 1501428730158 1751666851851 2335555802468 3002857460316 3503333703702 5255000555553 7006667407404 10510001111106 21020002222212