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11123010 = 2325731693
BaseRepresentation
bin101010011011…
…100101000010
3202221002220100
4222123211002
510321414020
61034223230
7163354413
oct52334502
922832810
1011123010
116307978
123884b16
1323c5a82
14169780a
15e9aa90
hexa9b942

11123010 has 48 divisors (see below), whose sum is σ = 29333304. Its totient is φ = 2923776.

The previous prime is 11123009. The next prime is 11123011. The reversal of 11123010 is 1032111.

It is an interprime number because it is at equal distance from previous prime (11123009) and next prime (11123011).

It can be written as a sum of positive squares in 4 ways, for example, as 8661249 + 2461761 = 2943^2 + 1569^2 .

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 = 11122983 and 11123001.

It is not an unprimeable number, because it can be changed into a prime (11123011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5724 + ... + 7416.

Almost surely, 211123010 is an apocalyptic number.

11123010 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 11123010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14666652).

11123010 is an abundant number, since it is smaller than the sum of its proper divisors (18210294).

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

11123010 is a wasteful number, since it uses less digits than its factorization.

11123010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1776 counting only the distinct ones).

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

The square root of 11123010 is about 3335.1176890779. The cubic root of 11123010 is about 223.2239433597.

Adding to 11123010 its reverse (1032111), we get a palindrome (12155121).

The spelling of 11123010 in words is "eleven million, one hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 1693 2190 3285 3386 5079 6570 8465 10158 15237 16930 25395 30474 50790 76185 123589 152370 247178 370767 617945 741534 1112301 1235890 1853835 2224602 3707670 5561505 11123010