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11120323620 = 22357216672269
BaseRepresentation
bin10100101101101001…
…01010110000100100
31001200222211222012210
422112310222300210
5140233300323440
65035243043420
7542400122400
oct122664526044
931628758183
1011120323620
1147971507aa
1221a4210570
131082b35963
14776c72100
1545140aa80
hex296d2ac24

11120323620 has 144 divisors (see below), whose sum is σ = 36258183360. Its totient is φ = 2539143936.

The previous prime is 11120323609. The next prime is 11120323633. The reversal of 11120323620 is 2632302111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4899846 + ... + 4902114.

It is an arithmetic number, because the mean of its divisors is an integer number (251792940).

Almost surely, 211120323620 is an apocalyptic number.

11120323620 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 11120323620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18129091680).

11120323620 is an abundant number, since it is smaller than the sum of its proper divisors (25137859740).

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

11120323620 is a wasteful number, since it uses less digits than its factorization.

11120323620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11120323620 its reverse (2632302111), we get a palindrome (13752625731).

The spelling of 11120323620 in words is "eleven billion, one hundred twenty million, three hundred twenty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 1667 2269 2940 3334 4538 5001 6668 6807 8335 9076 10002 11345 11669 13614 15883 16670 20004 22690 23338 25005 27228 31766 33340 34035 35007 45380 46676 47649 50010 58345 63532 68070 70014 79415 81683 95298 100020 111181 116690 136140 140028 158830 163366 175035 190596 222362 233380 238245 245049 317660 326732 333543 350070 408415 444724 476490 490098 555905 667086 700140 816830 952980 980196 1111810 1225245 1334172 1633660 1667715 2223620 2450490 3335430 3782423 4900980 6670860 7564846 11347269 15129692 18912115 22694538 26476961 37824230 45389076 52953922 56736345 75648460 79430883 105907844 113472690 132384805 158861766 185338727 226945380 264769610 317723532 370677454 397154415 529539220 556016181 741354908 794308830 926693635 1112032362 1588617660 1853387270 2224064724 2780080905 3706774540 5560161810 11120323620