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30221201131100 = 22527257178993901
BaseRepresentation
bin1101101111100011010111…
…11101010100011001011100
310222000010012110122111100022
412313301223331110121130
512430121004442143400
6144135232251051312
76236260352106110
oct667615375243134
9128003173574308
1030221201131100
1196a181519a901
1234810a3140b38
1313b2b01c352c5
147669dd099740
153761c9679b85
hex1b7c6bf5465c

30221201131100 has 144 divisors (see below), whose sum is σ = 75283066367040. Its totient is φ = 10315358208000.

The previous prime is 30221201131063. The next prime is 30221201131129. The reversal of 30221201131100 is 113110212203.

It is a congruent number.

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, 321794150 + ... + 321888050.

Almost surely, 230221201131100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30221201131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37641533183520).

30221201131100 is an abundant number, since it is smaller than the sum of its proper divisors (45061865235940).

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

30221201131100 is a wasteful number, since it uses less digits than its factorization.

30221201131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95968 (or 95961 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 30221201131100 its reverse (113110212203), we get a palindrome (30334311343303).

The spelling of 30221201131100 in words is "thirty trillion, two hundred twenty-one billion, two hundred one million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 257 350 514 700 1028 1285 1789 1799 2570 3578 3598 5140 6425 7156 7196 8945 8995 12523 12850 17890 17990 25046 25700 35780 35980 44725 44975 50092 62615 89450 89950 93901 125230 178900 179900 187802 250460 313075 375604 459773 469505 626150 657307 919546 939010 1252300 1314614 1839092 1878020 2298865 2347525 2629228 3218411 3286535 4597730 4695050 6436822 6573070 9195460 9390100 11494325 12873644 13146140 16092055 16432675 22988650 24132557 32184110 32865350 45977300 48265114 64368220 65730700 80460275 96530228 120662785 160920550 167988889 168927899 241325570 321841100 335977778 337855798 482651140 603313925 671955556 675711596 839944445 844639495 1175922223 1206627850 1679888890 1689278990 2351844446 2413255700 3359777780 3378557980 4199722225 4223197475 4703688892 5879611115 8399444450 8446394950 11759222230 16798888900 16892789900 23518444460 29398055575 43173144473 58796111150 86346288946 117592222300 172692577892 215865722365 302212011311 431731444730 604424022622 863462889460 1079328611825 1208848045244 1511060056555 2158657223650 3022120113110 4317314447300 6044240226220 7555300282775 15110600565550 30221201131100