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136111212 = 223319113587
BaseRepresentation
bin10000001110011…
…10010001101100
3100111010011111000
420013032101230
5234321024322
621301200300
73241632456
oct1007162154
9314104430
10136111212
116a916406
1239700090
13222782a3
14141112d6
15be393ac
hex81ce46c

136111212 has 96 divisors (see below), whose sum is σ = 375379200. Its totient is φ = 42529536.

The previous prime is 136111159. The next prime is 136111229. The reversal of 136111212 is 212111631.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231583 + ... + 232169.

It is an arithmetic number, because the mean of its divisors is an integer number (3910200).

Almost surely, 2136111212 is an apocalyptic number.

136111212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187689600).

136111212 is an abundant number, since it is smaller than the sum of its proper divisors (239267988).

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

136111212 is a wasteful number, since it uses less digits than its factorization.

136111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 136111212 is about 11666.6709904754. The cubic root of 136111212 is about 514.3964551208.

Adding to 136111212 its reverse (212111631), we get a palindrome (348222843).

The spelling of 136111212 in words is "one hundred thirty-six million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 113 114 171 226 228 339 342 452 513 587 678 684 1017 1026 1174 1356 1761 2034 2052 2147 2348 3051 3522 4068 4294 5283 6102 6441 7044 8588 10566 11153 12204 12882 15849 19323 21132 22306 25764 31698 33459 38646 44612 57969 63396 66331 66918 77292 100377 115938 132662 133836 198993 200754 231876 265324 301131 397986 401508 596979 602262 795972 1193958 1204524 1260289 1790937 2387916 2520578 3581874 3780867 5041156 7163748 7561734 11342601 15123468 22685202 34027803 45370404 68055606 136111212