Search a number
-
+
21233133321120 = 2532572106461639
BaseRepresentation
bin1001101001111101110010…
…10111100111101110100000
32210011212102120100201112200
410310332321113213232200
510240340424112233440
6113054211120453200
74321020560221530
oct464767127475640
983155376321480
1021233133321120
116846a15238746
12246b15947a200
13bb03781573a6
14535990dbd4c0
1526c4c87c6c30
hex134fb95e7ba0

21233133321120 has 144 divisors (see below), whose sum is σ = 82809219991680. Its totient is φ = 4853287613952.

The previous prime is 21233133321109. The next prime is 21233133321131. The reversal of 21233133321120 is 2112333133212.

21233133321120 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 313 + 3 + 321 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (21233133321109) and next prime (21233133321131).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053220740 + ... + 1053240899.

It is an arithmetic number, because the mean of its divisors is an integer number (575064027720).

Almost surely, 221233133321120 is an apocalyptic number.

21233133321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21233133321120 is an abundant number, since it is smaller than the sum of its proper divisors (61576086670560).

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

21233133321120 is a wasteful number, since it uses less digits than its factorization.

21233133321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106461667 (or 2106461656 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21233133321120 its reverse (2112333133212), we get a palindrome (23345466454332).

The spelling of 21233133321120 in words is "twenty-one trillion, two hundred thirty-three billion, one hundred thirty-three million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 2106461639 4212923278 6319384917 8425846556 10532308195 12638769834 14745231473 16851693112 18958154751 21064616390 25277539668 29490462946 31596924585 33703386224 37916309502 42129232780 44235694419 50555079336 58980925892 63193849170 67406772448 73726157365 75832619004 84258465560 88471388838 94790773755 101110158672 117961851784 126387698340 132707083257 147452314730 151665238008 168516931120 176942777676 189581547510 202220317344 221178472095 235923703568 252775396680 265414166514 294904629460 303330476016 337033862240 353885555352 379163095020 442356944190 471847407136 505550793360 530828333028 589809258920 606660952032 663535416285 707771110704 758326190040 884713888380 1011101586720 1061656666056 1179618517840 1327070832570 1415542221408 1516652380080 1769427776760 2123313332112 2359237035680 2654141665140 3033304760160 3538855553520 4246626664224 5308283330280 7077711107040 10616566660560 21233133321120