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181138122 = 232111575827
BaseRepresentation
bin10101100101111…
…11001011001010
3110121211202210100
422302333023022
5332332404442
625550230230
74326435324
oct1262771312
9417752710
10181138122
119327a830
12507b5376
132b6b1c29
141a0b2614
1510d8084c
hexacbf2ca

181138122 has 48 divisors (see below), whose sum is σ = 430945632. Its totient is φ = 54531360.

The previous prime is 181138109. The next prime is 181138129. The reversal of 181138122 is 221831181.

It is a super-2 number, since 2×1811381222 = 65622038483373768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (181138129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28173 + ... + 33999.

It is an arithmetic number, because the mean of its divisors is an integer number (8978034).

Almost surely, 2181138122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181138122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215472816).

181138122 is an abundant number, since it is smaller than the sum of its proper divisors (249807510).

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

181138122 is a wasteful number, since it uses less digits than its factorization.

181138122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6003 (or 6000 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 181138122 is about 13458.7563318458. The cubic root of 181138122 is about 565.8091333274.

The spelling of 181138122 in words is "one hundred eighty-one million, one hundred thirty-eight thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 157 198 314 471 942 1413 1727 2826 3454 5181 5827 10362 11654 15543 17481 31086 34962 52443 64097 104886 128194 192291 384582 576873 914839 1153746 1829678 2744517 5489034 8233551 10063229 16467102 20126458 30189687 60379374 90569061 181138122