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11220124103430 = 23511371131781199
BaseRepresentation
bin1010001101000110001110…
…0000101111001100000110
31110201122002201222201221220
42203101203200233030012
52432312303232302210
635510242011021210
72235425064165654
oct243214340571406
943648081881856
1011220124103430
113636478603950
121312650a3a806
1363508ca50728
142ab0b2205dd4
15146cdb710c70
hexa346382f306

11220124103430 has 128 divisors (see below), whose sum is σ = 30173317171200. Its totient is φ = 2646249315840.

The previous prime is 11220124103423. The next prime is 11220124103443. The reversal of 11220124103430 is 3430142102211.

It is a super-2 number, since 2×112201241034302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11220124103430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138139971 + ... + 138221169.

It is an arithmetic number, because the mean of its divisors is an integer number (235729040400).

Almost surely, 211220124103430 is an apocalyptic number.

11220124103430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220124103430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15086658585600).

11220124103430 is an abundant number, since it is smaller than the sum of its proper divisors (18953193067770).

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

11220124103430 is a wasteful number, since it uses less digits than its factorization.

11220124103430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92574.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11220124103430 its reverse (3430142102211), we get a palindrome (14650266205641).

The spelling of 11220124103430 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-four million, one hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 11317 12210 22634 33951 56585 67902 81199 113170 124487 162398 169755 243597 248974 339510 373461 405995 418729 487194 622435 746922 811990 837458 893189 1217985 1244870 1256187 1786378 1867305 2093645 2435970 2512374 2679567 3004363 3734610 4187290 4465945 4606019 5359134 6008726 6280935 8931890 9013089 9212038 12561870 13397835 13818057 15021815 18026178 23030095 26795670 27636114 30043630 33047993 45065445 46060190 66095986 69090285 90130890 99143979 138180570 165239965 198287958 330479930 495719895 918929083 991439790 1837858166 2756787249 4594645415 5513574498 9189290830 10108219913 13783936245 20216439826 27567872490 30324659739 34000376071 50541099565 60649319478 68000752142 101082199130 102001128213 151623298695 170001880355 204002256426 303246597390 340003760710 374004136781 510005641065 748008273562 1020011282130 1122012410343 1870020683905 2244024820686 3740041367810 5610062051715 11220124103430