Search a number
-
+
21101220222000 = 2435319185098423
BaseRepresentation
bin1001100110001000000101…
…01111000101010000110000
32202201020221022120222021220
410303010002233011100300
510231210244334101000
6112513433341145040
74305340623326652
oct463040257052060
982636838528256
1021101220222000
1167a5a82786966
122449683b5b180
13ba0ab4b13959
1452d4397da6d2
15268d57a191a0
hex133102bc5430

21101220222000 has 160 divisors (see below), whose sum is σ = 71610878277120. Its totient is φ = 5330834553600.

The previous prime is 21101220221989. The next prime is 21101220222011. The reversal of 21101220222000 is 22202210112.

It is an interprime number because it is at equal distance from previous prime (21101220221989) and next prime (21101220222011).

It is a super-2 number, since 2×211012202220002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92435212 + ... + 92663211.

It is an arithmetic number, because the mean of its divisors is an integer number (447567989232).

Almost surely, 221101220222000 is an apocalyptic number.

21101220222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101220222000 is an abundant number, since it is smaller than the sum of its proper divisors (50509658055120).

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

21101220222000 is a wasteful number, since it uses less digits than its factorization.

21101220222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185098468 (or 185098452 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21101220222000 its reverse (22202210112), we get a palindrome (21123422432112).

The spelling of 21101220222000 in words is "twenty-one trillion, one hundred one billion, two hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 114000 185098423 370196846 555295269 740393692 925492115 1110590538 1480787384 1850984230 2221181076 2776476345 2961574768 3516870037 3701968460 4442362152 4627460575 5552952690 7033740074 7403936920 8884724304 9254921150 10550610111 11105905380 13882381725 14067480148 14807873840 17584350185 18509842300 21101220222 22211810760 23137302875 27764763450 28134960296 35168700370 37019684600 42202440444 44423621520 46274605750 52753050555 55529526900 56269920592 69411908625 70337400740 74039369200 84404880888 87921750925 92549211500 105506101110 111059053800 138823817250 140674801480 168809761776 175843501850 185098423000 211012202220 222118107600 263765252775 277647634500 281349602960 351687003700 370196846000 422024404440 439608754625 527530505550 555295269000 703374007400 844048808880 879217509250 1055061011100 1110590538000 1318826263875 1406748014800 1758435018500 2110122022200 2637652527750 3516870037000 4220244044400 5275305055500 7033740074000 10550610111000 21101220222000