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11001020112 = 2432596121227
BaseRepresentation
bin10100011111011011…
…00011111011010000
31001101200100201120100
422033231203323100
5140012230120422
65015342012400
7536421061635
oct121755437320
931350321510
1011001020112
114735875265
122170277100
1310641c3a74
1476509818c
15445be17ac
hex28fb63ed0

11001020112 has 120 divisors (see below), whose sum is σ = 31824168480. Its totient is φ = 3545591040.

The previous prime is 11001020089. The next prime is 11001020117. The reversal of 11001020112 is 21102010011.

It is a happy number.

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 = 11001020094 and 11001020103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001020117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 507643 + ... + 528869.

It is an arithmetic number, because the mean of its divisors is an integer number (265201404).

Almost surely, 211001020112 is an apocalyptic number.

11001020112 is a gapful number since it is divisible by the number (12) 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 11001020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912084240).

11001020112 is an abundant number, since it is smaller than the sum of its proper divisors (20823148368).

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

11001020112 is a wasteful number, since it uses less digits than its factorization.

11001020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21361 (or 21352 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11001020112 its reverse (21102010011), we get a palindrome (32103030123).

The spelling of 11001020112 in words is "eleven billion, one million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 61 72 118 122 144 177 183 236 244 354 366 472 488 531 549 708 732 944 976 1062 1098 1416 1464 2124 2196 2832 2928 3599 4248 4392 7198 8496 8784 10797 14396 21227 21594 28792 32391 42454 43188 57584 63681 64782 84908 86376 127362 129564 169816 172752 191043 254724 259128 339632 382086 509448 518256 764172 1018896 1252393 1294847 1528344 2504786 2589694 3056688 3757179 3884541 5009572 5179388 7514358 7769082 10019144 10358776 11271537 11653623 15028716 15538164 20038288 20717552 22543074 23307246 30057432 31076328 45086148 46614492 60114864 62152656 76395973 90172296 93228984 152791946 180344592 186457968 229187919 305583892 458375838 611167784 687563757 916751676 1222335568 1375127514 1833503352 2750255028 3667006704 5500510056 11001020112