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21330222203312 = 24111741533280757
BaseRepresentation
bin1001101100110010101000…
…10100010100000110110000
32210112011000212012221220022
410312121110110110012300
510243433243341001222
6113210545132303012
74331025535133231
oct466312424240660
983464025187808
1021330222203312
1168841073a0960
122485b34311a68
13bb957b8027c9
1453a561573088
1526ecac178042
hex1366545141b0

21330222203312 has 160 divisors (see below), whose sum is σ = 49823323228224. Its totient is φ = 8734684774400.

The previous prime is 21330222203299. The next prime is 21330222203399.

21330222203312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4861238 + ... + 8141994.

Almost surely, 221330222203312 is an apocalyptic number.

21330222203312 is a gapful number since it is divisible by the number (22) 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 21330222203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24911661614112).

21330222203312 is an abundant number, since it is smaller than the sum of its proper divisors (28493101024912).

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

21330222203312 is a wasteful number, since it uses less digits than its factorization.

21330222203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280887 (or 3280881 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 2133022 and 2203312, that added together give a palindrome (4336334).

The spelling of 21330222203312 in words is "twenty-one trillion, three hundred thirty billion, two hundred twenty-two million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 34 41 44 53 68 82 88 106 136 164 176 187 212 272 328 374 424 451 583 656 697 748 848 901 902 1166 1394 1496 1802 1804 2173 2332 2788 2992 3604 3608 4346 4664 5576 7208 7216 7667 8692 9328 9911 11152 14416 15334 17384 19822 23903 30668 34768 36941 39644 47806 61336 73882 79288 95612 122672 147764 158576 191224 295528 382448 406351 591056 812702 1625404 3250808 3280757 6501616 6561514 13123028 26246056 36088327 52492112 55772869 72176654 111545738 134511037 144353308 173880121 223091476 269022074 288706616 347760242 446182952 538044148 577413232 613501559 695520484 892365904 1076088296 1227003118 1391040968 1479621407 1912681331 2152176592 2286687629 2454006236 2782081936 2955962057 2959242814 3825362662 4573375258 4908012472 5911924114 5918485628 7129084961 7650725324 9146750516 9816024944 11823848228 11836971256 14258169922 15301450648 18293501032 23647696456 23673942512 25153563919 28516339844 30602901296 32515582627 36587002064 47295392912 50307127838 57032679688 65031165254 78419934571 100614255676 114065359376 121194444337 130062330508 156839869142 201228511352 242388888674 260124661016 313679738284 402457022704 484777777348 520249322032 627359476568 969555554696 1254718953136 1333138887707 1939111109392 2666277775414 5332555550828 10665111101656 21330222203312