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21020220211212 = 223217179454942181
BaseRepresentation
bin1001100011110001001101…
…10000100100000000001100
32202102111212021210002101100
410301320212300210000030
510223343402333224322
6112412320021543100
74266442436521005
oct461704660440014
982374767702340
1021020220211212
116774697349992
122435a39274a90
13b96276769aa1
14529553d101ac
15266bb6865dac
hex131e26c2400c

21020220211212 has 144 divisors (see below), whose sum is σ = 56588081004000. Its totient is φ = 6556140656640.

The previous prime is 21020220211141. The next prime is 21020220211313. The reversal of 21020220211212 is 21211202202012.

It is a happy number.

21020220211212 is a `hidden beast` number, since 2 + 1 + 0 + 20 + 220 + 211 + 212 = 666.

It is a super-3 number, since 3×210202202112123 (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498312762 + ... + 498354942.

It is an arithmetic number, because the mean of its divisors is an integer number (392972784750).

Almost surely, 221020220211212 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 21020220211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28294040502000).

21020220211212 is an abundant number, since it is smaller than the sum of its proper divisors (35567860792788).

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

21020220211212 is a wasteful number, since it uses less digits than its factorization.

21020220211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46936 (or 46931 counting only the distinct ones).

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

Adding to 21020220211212 its reverse (21211202202012), we get a palindrome (42231422413224).

The spelling of 21020220211212 in words is "twenty-one trillion, twenty billion, two hundred twenty million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 179 204 306 358 537 612 716 1074 1611 2148 3043 3222 4549 6086 6444 9098 9129 12172 13647 18196 18258 27294 27387 36516 40941 42181 54588 54774 77333 81882 84362 109548 126543 154666 163764 168724 231999 253086 309332 379629 463998 506172 695997 717077 759258 814271 927996 1391994 1434154 1518516 1628542 2151231 2442813 2783988 2868308 3257084 4302462 4885626 6453693 7328439 7550399 8604924 9771252 12907386 13842607 14656878 15100798 22651197 25814772 27685214 29313756 30201596 41527821 45302394 55370428 67953591 83055642 90604788 124583463 128356783 135907182 166111284 191881369 249166926 256713566 271814364 383762738 385070349 498333852 513427132 575644107 767525476 770140698 1151288214 1155211047 1540281396 1726932321 2302576428 2310422094 3261983273 3453864642 4620844188 6523966546 6907729284 9785949819 13047933092 19571899638 29357849457 34346765051 39143799276 58715698914 68693530102 103040295153 117431397828 137387060204 206080590306 309120885459 412161180612 583895005867 618241770918 1167790011734 1236483541836 1751685017601 2335580023468 3503370035202 5255055052803 7006740070404 10510110105606 21020220211212