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20031012112300 = 22527232100159243
BaseRepresentation
bin1001000110111110101010…
…10111001000011110101100
32121220221112200020001002121
410203133111113020132230
510111142003100043200
6110334041523202324
74135123103436310
oct443372527103654
977827480201077
1020031012112300
116423117148012
1222b61895163a4
13b23bbb267147
144d3712c87b40
1524b0bc784e1a
hex1237d55c87ac

20031012112300 has 144 divisors (see below), whose sum is σ = 51840119020032. Its totient is φ = 6568752960000.

The previous prime is 20031012112229. The next prime is 20031012112327. The reversal of 20031012112300 is 321121013002.

It is a super-2 number, since 2×200310121123002 (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 47 ways as a sum of consecutive naturals, for example, 338086479 + ... + 338145721.

It is an arithmetic number, because the mean of its divisors is an integer number (360000826528).

Almost surely, 220031012112300 is an apocalyptic number.

20031012112300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20031012112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920059510016).

20031012112300 is an abundant number, since it is smaller than the sum of its proper divisors (31809106907732).

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

20031012112300 is a wasteful number, since it uses less digits than its factorization.

20031012112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80288 (or 80281 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20031012112300 its reverse (321121013002), we get a palindrome (20352133125302).

The spelling of 20031012112300 in words is "twenty trillion, thirty-one billion, twelve million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 8050 16100 21001 42002 59243 84004 105005 118486 147007 210010 236972 294014 296215 414701 420020 483023 525025 588028 592430 735035 829402 966046 1050050 1184860 1362589 1470070 1481075 1658804 1932092 2073505 2100100 2415115 2725178 2940140 2962150 3381161 3675175 4147010 4830230 5450356 5924300 6762322 6812945 7350350 8294020 9538123 9660460 10367525 12075575 13524644 13625890 14700700 16905805 19076246 20735050 24151150 27251780 33811610 34064725 38152492 41470100 47690615 48302300 67623220 68129450 84529025 95381230 136258900 169058050 190762460 238453075 338116100 476906150 953812300 1244162243 2488324486 4976648972 6220811215 8709135701 12441622430 17418271402 24883244860 28615731589 31104056075 34836542804 43545678505 57231463178 62208112150 87091357010 114462926356 124416224300 143078657945 174182714020 200310121123 217728392525 286157315890 400620242246 435456785050 572314631780 715393289725 801240484492 870913570100 1001550605615 1430786579450 2003101211230 2861573158900 4006202422460 5007753028075 10015506056150 20031012112300