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21121131333000 = 233537199160241
BaseRepresentation
bin1001100110101101001011…
…00001111100010110001000
32202210011022221212012202110
410303112211201330112020
510232022034110124000
6112530525213302320
74306644216066156
oct463264541742610
982704287765673
1021121131333000
1168034700132a6
1224515001949a0
13ba2938c6823a
145303a7d843d6
15269620a77850
hex1335a587c588

21121131333000 has 128 divisors (see below), whose sum is σ = 66826070288640. Its totient is φ = 5552973440000.

The previous prime is 21121131332999. The next prime is 21121131333013. The reversal of 21121131333000 is 33313112112.

It is a happy number.

It is a super-2 number, since 2×211211313330002 (a number of 27 digits) contains 22 as substring.

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, 49367121 + ... + 49793120.

It is an arithmetic number, because the mean of its divisors is an integer number (522078674130).

Almost surely, 221121131333000 is an apocalyptic number.

21121131333000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121131333000 is an abundant number, since it is smaller than the sum of its proper divisors (45704938955640).

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

21121131333000 is a wasteful number, since it uses less digits than its factorization.

21121131333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99160336 (or 99160322 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 21121131333000 its reverse (33313112112), we get a palindrome (21154444445112).

The spelling of 21121131333000 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 125 142 150 200 213 250 284 300 355 375 426 500 568 600 710 750 852 1000 1065 1420 1500 1704 1775 2130 2840 3000 3550 4260 5325 7100 8520 8875 10650 14200 17750 21300 26625 35500 42600 53250 71000 106500 213000 99160241 198320482 297480723 396640964 495801205 594961446 793281928 991602410 1189922892 1487403615 1983204820 2379845784 2479006025 2974807230 3966409640 4958012050 5949614460 7040377111 7437018075 9916024100 11899228920 12395030125 14080754222 14874036150 19832048200 21121131333 24790060250 28161508444 29748072300 35201885555 37185090375 42242262666 49580120500 56323016888 59496144600 70403771110 74370180750 84484525332 99160241000 105605656665 140807542220 148740361500 168969050664 176009427775 211211313330 281615084440 297480723000 352018855550 422422626660 528028283325 704037711100 844845253320 880047138875 1056056566650 1408075422200 1760094277750 2112113133300 2640141416625 3520188555500 4224226266600 5280282833250 7040377111000 10560565666500 21121131333000