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11011003020 = 22325174776561
BaseRepresentation
bin10100100000100111…
…01001001010001100
31001102101010220112200
422100103221022030
5140022304044040
65020340001500
7536601660423
oct122023511214
931371126480
1011011003020
1147404735a6
122173690290
1310662aa904
147665362ba
15446a14630
hex2904e928c

11011003020 has 144 divisors (see below), whose sum is σ = 36117664128. Its totient is φ = 2704711680.

The previous prime is 11011003013. The next prime is 11011003033. The reversal of 11011003020 is 2030011011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11011002993 and 11011003011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105540 + ... + 182100.

It is an arithmetic number, because the mean of its divisors is an integer number (250817112).

Almost surely, 211011003020 is an apocalyptic number.

11011003020 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 11011003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18058832064).

11011003020 is an abundant number, since it is smaller than the sum of its proper divisors (25106661108).

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

11011003020 is a wasteful number, since it uses less digits than its factorization.

11011003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76640 (or 76635 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11011003020 its reverse (2030011011), we get a palindrome (13041014031).

The spelling of 11011003020 in words is "eleven billion, eleven million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 47 51 60 68 85 90 94 102 141 153 170 180 188 204 235 255 282 306 340 423 470 510 564 612 705 765 799 846 940 1020 1410 1530 1598 1692 2115 2397 2820 3060 3196 3995 4230 4794 7191 7990 8460 9588 11985 14382 15980 23970 28764 35955 47940 71910 76561 143820 153122 229683 306244 382805 459366 689049 765610 918732 1148415 1301537 1378098 1531220 2296830 2603074 2756196 3445245 3598367 3904611 4593660 5206148 6507685 6890490 7196734 7809222 10795101 11713833 13015370 13780980 14393468 15618444 17991835 19523055 21590202 23427666 26030740 32385303 35983670 39046110 43180404 46855332 53975505 58569165 61172239 64770606 71967340 78092220 107951010 117138330 122344478 129541212 161926515 183516717 215902020 234276660 244688956 305861195 323853030 367033434 550550151 611722390 647706060 734066868 917583585 1101100302 1223444780 1835167170 2202200604 2752750755 3670334340 5505501510 11011003020