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12100158 = 2337217269
BaseRepresentation
bin101110001010…
…001000111110
3211202202022000
4232022020332
511044201113
61111203130
7204564300
oct56121076
924682260
1012100158
116915034
1240764a6
132678775
14186d970
1510e0373
hexb8a23e

12100158 has 96 divisors (see below), whose sum is σ = 33242400. Its totient is φ = 3241728.

The previous prime is 12100111. The next prime is 12100159. The reversal of 12100158 is 85100121.

12100158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12100158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100159) 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, 44848 + ... + 45116.

It is an arithmetic number, because the mean of its divisors is an integer number (346275).

Almost surely, 212100158 is an apocalyptic number.

12100158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16621200).

12100158 is an abundant number, since it is smaller than the sum of its proper divisors (21142242).

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

12100158 is a wasteful number, since it uses less digits than its factorization.

12100158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 12100158 is about 3478.5281370143. The cubic root of 12100158 is about 229.5780417232.

Adding to 12100158 its reverse (85100121), we get a palindrome (97200279).

The spelling of 12100158 in words is "twelve million, one hundred thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 269 294 306 357 378 441 459 538 714 807 833 882 918 1071 1323 1614 1666 1883 2142 2421 2499 2646 3213 3766 4573 4842 4998 5649 6426 7263 7497 9146 11298 13181 13719 14526 14994 16947 22491 26362 27438 32011 33894 39543 41157 44982 50841 64022 79086 82314 96033 101682 118629 123471 192066 224077 237258 246942 288099 355887 448154 576198 672231 711774 864297 1344462 1728594 2016693 4033386 6050079 12100158