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21122021021112 = 23331110981557243
BaseRepresentation
bin1001100110101110110101…
…00011110101010110111000
32202210020121221222001102000
410303113122203311112320
510232030344340133422
6112531153354341000
74310005241236104
oct463273243652670
982706557861360
1021122021021112
116803887242130
12245170a12a760
13ba2a4b3910cb
145304501b8904
15269673c18cac
hex1335da8f55b8

21122021021112 has 128 divisors (see below), whose sum is σ = 64593337248000. Its totient is φ = 6341891137920.

The previous prime is 21122021021099. The next prime is 21122021021131. The reversal of 21122021021112 is 21112012022112.

21122021021112 is a `hidden beast` number, since 2 + 11 + 220 + 210 + 211 + 12 = 666.

It is a super-2 number, since 2×211220210211122 (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40519638 + ... + 41037605.

It is an arithmetic number, because the mean of its divisors is an integer number (504635447250).

Almost surely, 221122021021112 is an apocalyptic number.

21122021021112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21122021021112 is an abundant number, since it is smaller than the sum of its proper divisors (43471316226888).

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

21122021021112 is a wasteful number, since it uses less digits than its factorization.

21122021021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81557378 (or 81557368 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122021021112 its reverse (21112012022112), we get a palindrome (42234033043224).

The spelling of 21122021021112 in words is "twenty-one trillion, one hundred twenty-two billion, twenty-one million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 109 132 198 216 218 264 297 327 396 436 594 654 792 872 981 1188 1199 1308 1962 2376 2398 2616 2943 3597 3924 4796 5886 7194 7848 9592 10791 11772 14388 21582 23544 28776 32373 43164 64746 86328 129492 258984 81557243 163114486 244671729 326228972 489343458 652457944 734015187 897129673 978686916 1468030374 1794259346 1957373832 2202045561 2691389019 2936060748 3588518692 4404091122 5382778038 5872121496 7177037384 8074167057 8808182244 8889739487 10765556076 16148334114 17616364488 17779478974 21531112152 24222501171 26669218461 32296668228 35558957948 48445002342 53338436922 64593336456 71117915896 80007655383 96890004684 97787134357 106676873844 160015310766 193780009368 195574268714 213353747688 240022966149 293361403071 320030621532 391148537428 480045932298 586722806142 640061243064 782297074856 880084209213 960091864596 1173445612284 1760168418426 1920183729192 2346891224568 2640252627639 3520336836852 5280505255278 7040673673704 10561010510556 21122021021112