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21000302111112 = 23353173268335569
BaseRepresentation
bin1001100011001100000111…
…00011000010100110001000
32202100121110011100202200020
410301212003203002212020
510223032104320023422
6112355223335540440
74265136030462222
oct461460343024610
982317404322606
1021000302111112
1167671a6079535
122431bba82a720
13b9442103923c
145285c4867412
152663ecdc695c
hex1319838c2988

21000302111112 has 128 divisors (see below), whose sum is σ = 53822099548800. Its totient is φ = 6825586839552.

The previous prime is 21000302111081. The next prime is 21000302111119. The reversal of 21000302111112 is 21111120300012.

It is a junction number, because it is equal to n+sod(n) for n = 21000302111091 and 21000302111100.

It is not an unprimeable number, because it can be changed into a prime (21000302111119) by changing a digit.

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, 590392464 + ... + 590428032.

It is an arithmetic number, because the mean of its divisors is an integer number (420485152725).

Almost surely, 221000302111112 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 21000302111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26911049774400).

21000302111112 is an abundant number, since it is smaller than the sum of its proper divisors (32821797437688).

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

21000302111112 is a wasteful number, since it uses less digits than its factorization.

21000302111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38487 (or 38483 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21000302111112 its reverse (21111120300012), we get a palindrome (42111422411124).

The spelling of 21000302111112 in words is "twenty-one trillion, three hundred two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 173 212 318 346 424 519 636 692 1038 1272 1384 2076 2683 4152 5366 8049 9169 10732 16098 18338 21464 27507 32196 35569 36676 55014 64392 71138 73352 106707 110028 142199 142276 213414 220056 284398 284552 426597 426828 464159 568796 853194 853656 928318 1137592 1392477 1706388 1856636 1885157 2784954 3412776 3713272 3770314 5569908 5655471 6153437 7540628 11139816 11310942 12306874 15081256 18460311 22621884 24600427 24613748 36920622 45243768 49200854 49227496 73801281 73841244 95431627 98401708 147602562 147682488 190863254 196803416 286294881 295205124 326132161 381726508 572589762 590410248 652264322 763453016 978396483 1145179524 1304528644 1956792966 2290359048 2609057288 3913585932 5057876231 7827171864 10115752462 15173628693 16509671471 20231504924 30347257386 33019342942 40463009848 49529014413 60694514772 66038685884 99058028826 121389029544 132077371768 198116057652 396232115304 875012587963 1750025175926 2625037763889 3500050351852 5250075527778 7000100703704 10500151055556 21000302111112