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11223330210020 = 22541271307164513
BaseRepresentation
bin1010001101010010001010…
…0111000100000011100100
31110201221101011211211101102
42203110202213010003210
52432340340013210040
635511532101015232
72235600404511335
oct243244247040344
943657334754342
1011223330210020
113637873348215
1213131a66b4518
13635481049916
142ab2d7d4028c
15146e27e18515
hexa35229c40e4

11223330210020 has 96 divisors (see below), whose sum is σ = 24312021060096. Its totient is φ = 4349434060800.

The previous prime is 11223330209963. The next prime is 11223330210073. The reversal of 11223330210020 is 2001203332211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11223330209974 and 11223330210001.

It is an unprimeable number.

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, 68139284 + ... + 68303796.

It is an arithmetic number, because the mean of its divisors is an integer number (253250219376).

Almost surely, 211223330210020 is an apocalyptic number.

11223330210020 is a gapful number since it is divisible by the number (10) 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 11223330210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156010530048).

11223330210020 is an abundant number, since it is smaller than the sum of its proper divisors (13088690850076).

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

11223330210020 is a wasteful number, since it uses less digits than its factorization.

11223330210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165141 (or 165139 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11223330210020 its reverse (2001203332211), we get a palindrome (13224533542231).

The spelling of 11223330210020 in words is "eleven trillion, two hundred twenty-three billion, three hundred thirty million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 307 410 542 614 820 1084 1228 1355 1535 2710 3070 5420 6140 11111 12587 22222 25174 44444 50348 55555 62935 83197 111110 125870 164513 166394 222220 251740 329026 332788 415985 658052 822565 831970 1645130 1663940 3290260 3411077 6745033 6822154 13490066 13644308 17055385 26980132 33725165 34110770 44583023 50505491 67450330 68221540 89166046 101010982 134900660 178332092 202021964 222915115 252527455 445830230 505054910 891660460 1010109820 1827903943 2070725131 3655807886 4141450262 7311615772 8282900524 9139519715 10353625655 13686988061 18279039430 20707251310 27373976122 36558078860 41414502620 54747952244 68434940305 136869880610 273739761220 561166510501 1122333021002 2244666042004 2805832552505 5611665105010 11223330210020