Search a number
-
+
21023302001100 = 22352761164116331
BaseRepresentation
bin1001100011110110111100…
…11100101010000111001100
32202102210211001201020100120
410301323132130222013030
510223421210303013400
6112413545511224540
74266612010353120
oct461733634520714
982383731636316
1021023302001100
116775a289a3283
122436559378150
13b9664808a2b9
14529767327580
15266ce71b3ca0
hex131ede72a1cc

21023302001100 has 144 divisors (see below), whose sum is σ = 70656676183296. Its totient is φ = 4726550304000.

The previous prime is 21023302001033. The next prime is 21023302001123. The reversal of 21023302001100 is 110020332012.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21023302001100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81930066 + ... + 82186265.

It is an arithmetic number, because the mean of its divisors is an integer number (490671362384).

Almost surely, 221023302001100 is an apocalyptic number.

21023302001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21023302001100 is an abundant number, since it is smaller than the sum of its proper divisors (49633374182196).

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

21023302001100 is a wasteful number, since it uses less digits than its factorization.

21023302001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164116416 (or 164116409 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21023302001100 its reverse (110020332012), we get a palindrome (21133322333112).

The spelling of 21023302001100 in words is "twenty-one trillion, twenty-three billion, three hundred two million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 61 70 75 84 100 105 122 140 150 175 183 210 244 300 305 350 366 420 427 525 610 700 732 854 915 1050 1220 1281 1525 1708 1830 2100 2135 2562 3050 3660 4270 4575 5124 6100 6405 8540 9150 10675 12810 18300 21350 25620 32025 42700 64050 128100 164116331 328232662 492348993 656465324 820581655 984697986 1148814317 1641163310 1969395972 2297628634 2461744965 3282326620 3446442951 4102908275 4595257268 4923489930 5744071585 6892885902 8205816550 9846979860 10011096191 11488143170 12308724825 13785771804 16411633100 17232214755 20022192382 22976286340 24617449650 28720357925 30033288573 34464429510 40044384764 49234899300 50055480955 57440715850 60066577146 68928859020 70077673337 86161073775 100110961910 114881431700 120133154292 140155346674 150166442865 172322147550 200221923820 210233020011 250277404775 280310693348 300332885730 344644295100 350388366685 420466040022 500554809550 600665771460 700776733370 750832214325 840932080044 1001109619100 1051165100055 1401553466740 1501664428650 1751941833425 2102330200110 3003328857300 3503883666850 4204660400220 5255825500275 7007767333700 10511651000550 21023302001100