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10011301110 = 23559194483
BaseRepresentation
bin10010101001011100…
…00101010011110110
3221211201000210100000
421110232011103312
5131000343113420
64333224532130
7503042440536
oct112456052366
927751023300
1010011301110
114278133778
121b34921046
13c37146315
146ad8654c6
153d8d91690
hex254b854f6

10011301110 has 96 divisors (see below), whose sum is σ = 27028834560. Its totient is φ = 2666180448.

The previous prime is 10011301109. The next prime is 10011301123. The reversal of 10011301110 is 1110311001.

10011301110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100113011102 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10011301092 and 10011301101.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2230929 + ... + 2235411.

It is an arithmetic number, because the mean of its divisors is an integer number (281550360).

Almost surely, 210011301110 is an apocalyptic number.

10011301110 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 10011301110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514417280).

10011301110 is an abundant number, since it is smaller than the sum of its proper divisors (17017533450).

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

10011301110 is an equidigital number, since it uses as much as digits as its factorization.

10011301110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5412 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10011301110 its reverse (1110311001), we get a palindrome (11121612111).

The spelling of 10011301110 in words is "ten billion, eleven million, three hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 919 1215 1838 2430 2757 4483 4595 5514 8271 8966 9190 13449 13785 16542 22415 24813 26898 27570 40347 41355 44830 49626 67245 74439 80694 82710 121041 124065 134490 148878 201735 223317 242082 248130 363123 372195 403470 446634 605205 726246 744390 1089369 1116585 1210410 1815615 2178738 2233170 3631230 4119877 5446845 8239754 10893690 12359631 20599385 24719262 37078893 41198770 61798155 74157786 111236679 123596310 185394465 222473358 333710037 370788930 556183395 667420074 1001130111 1112366790 1668550185 2002260222 3337100370 5005650555 10011301110