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81188118 = 232114173137
BaseRepresentation
bin1001101011011…
…01010100010110
312122202210011100
410311231110112
5131241004433
612020050530
72004042024
oct465552426
9178683140
1081188118
1141912920
1223233a46
1313a8810b
14aad5714
1571dab13
hex4d6d516

81188118 has 96 divisors (see below), whose sum is σ = 200727072. Its totient is φ = 23500800.

The previous prime is 81188113. The next prime is 81188119.

81188118 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

81188118 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81188111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592546 + ... + 592682.

It is an arithmetic number, because the mean of its divisors is an integer number (2090907).

Almost surely, 281188118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81188118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100363536).

81188118 is an abundant number, since it is smaller than the sum of its proper divisors (119538954).

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

81188118 is a wasteful number, since it uses less digits than its factorization.

81188118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its digits is 4096, while the sum is 36.

The square root of 81188118 is about 9010.4449390693. Note that the first 3 decimals coincide. The cubic root of 81188118 is about 433.0095665721.

The spelling of 81188118 in words is "eighty-one million, one hundred eighty-eight thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 73 82 99 123 137 146 198 219 246 274 369 411 438 451 657 738 803 822 902 1233 1314 1353 1507 1606 2409 2466 2706 2993 3014 4059 4521 4818 5617 5986 7227 8118 8979 9042 10001 11234 13563 14454 16851 17958 20002 26937 27126 30003 32923 33702 50553 53874 60006 61787 65846 90009 98769 101106 110011 123574 180018 185361 197538 220022 296307 330033 370722 410041 556083 592614 660066 820082 990099 1112166 1230123 1980198 2460246 3690369 4510451 7380738 9020902 13531353 27062706 40594059 81188118