Search a number
-
+
21101120201022 = 23171929659569729
BaseRepresentation
bin1001100110000111111001…
…10001100010000100111110
32202201020200100101101022020
410303003330301202010332
510231210043232413042
6112513415405301010
74305335300216421
oct463037461420476
982636610341266
1021101120201022
1167a5a312806a4
122449656564766
13ba0a9a193744
1452d42a4019b8
15268d4dd5d3ec
hex1330fcc6213e

21101120201022 has 128 divisors (see below), whose sum is σ = 48732425280000. Its totient is φ = 6046081155072.

The previous prime is 21101120200981. The next prime is 21101120201023. The reversal of 21101120201022 is 22010202110112.

It is a super-3 number, since 3×211011202010223 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21101120200992 and 21101120201010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101120201023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36752254 + ... + 37321982.

It is an arithmetic number, because the mean of its divisors is an integer number (380722072500).

Almost surely, 221101120201022 is an apocalyptic number.

21101120201022 is an abundant number, since it is smaller than the sum of its proper divisors (27631305078978).

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

21101120201022 is a wasteful number, since it uses less digits than its factorization.

21101120201022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570458.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21101120201022 its reverse (22010202110112), we get a palindrome (43111322311134).

The spelling of 21101120201022 in words is "twenty-one trillion, one hundred one billion, one hundred twenty million, two hundred one thousand, twenty-two".

Divisors: 1 2 3 6 17 19 29 34 38 51 57 58 87 102 114 174 323 493 551 646 659 969 986 1102 1318 1479 1653 1938 1977 2958 3306 3954 9367 11203 12521 18734 19111 22406 25042 28101 33609 37563 38222 56202 57333 67218 75126 114666 212857 324887 363109 425714 569729 638571 649774 726218 974661 1089327 1139458 1277142 1709187 1949322 2178654 3418374 6172853 9685393 10824851 12345706 16522141 18518559 19370786 21649702 29056179 32474553 33044282 37037118 49566423 58112358 64949106 99132846 184022467 280876397 313920679 368044934 375451411 552067401 561752794 627841358 750902822 842629191 941762037 1104134802 1126354233 1685258382 1883524074 2252708466 5336651543 6382673987 7133576809 10673303086 10888090919 12765347974 14267153618 16009954629 19148021961 21400730427 21776181838 32019909258 32664272757 38296043922 42801460854 65328545514 121270805753 185097545623 206873727461 242541611506 363812417259 370195091246 413747454922 555292636869 620621182383 727624834518 1110585273738 1241242364766 3516853366837 7033706733674 10550560100511 21101120201022