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21110311321020 = 2235521120586187
BaseRepresentation
bin1001100110011001000001…
…00110110111110110111100
32202202010101220002122200000
410303030200212313312330
510231332404144233040
6112521535415034300
74306112123361555
oct463144046676674
982663356078600
1021110311321020
1167a991843a139
12244b3a066b990
13ba190340c19c
1452da5cd6732c
152691dabdd130
hex1333209b7dbc

21110311321020 has 144 divisors (see below), whose sum is σ = 66720988134528. Its totient is φ = 5602736381760.

The previous prime is 21110311320979. The next prime is 21110311321027. The reversal of 21110311321020 is 2012311301112.

21110311321020 is a `hidden beast` number, since 2 + 1 + 1 + 10 + 311 + 321 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21110311320984 and 21110311321002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110311321027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9267634 + ... + 11318553.

Almost surely, 221110311321020 is an apocalyptic number.

21110311321020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21110311321020 is an abundant number, since it is smaller than the sum of its proper divisors (45610676813508).

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

21110311321020 is a wasteful number, since it uses less digits than its factorization.

21110311321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20586422 (or 20586408 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21110311321020 its reverse (2012311301112), we get a palindrome (23122622622132).

The spelling of 21110311321020 in words is "twenty-one trillion, one hundred ten billion, three hundred eleven million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 211 243 270 324 405 422 486 540 633 810 844 972 1055 1215 1266 1620 1899 2110 2430 2532 3165 3798 4220 4860 5697 6330 7596 9495 11394 12660 17091 18990 22788 28485 34182 37980 51273 56970 68364 85455 102546 113940 170910 205092 256365 341820 512730 1025460 20586187 41172374 61758561 82344748 102930935 123517122 185275683 205861870 247034244 308792805 370551366 411723740 555827049 617585610 741102732 926378415 1111654098 1235171220 1667481147 1852756830 2223308196 2779135245 3334962294 3705513660 4343685457 5002443441 5558270490 6669924588 8337405735 8687370914 10004886882 11116540980 13031056371 16674811470 17374741828 20009773764 21718427285 25012217205 26062112742 33349622940 39093169113 43436854570 50024434410 52124225484 65155281855 78186338226 86873709140 100048868820 117279507339 130310563710 156372676452 195465845565 234559014678 260621127420 351838522017 390931691130 469118029356 586397536695 703677044034 781863382260 1055515566051 1172795073390 1407354088068 1759192610085 2111031132102 2345590146780 3518385220170 4222062264204 5277577830255 7036770440340 10555155660510 21110311321020