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136200012 = 223136783157
BaseRepresentation
bin10000001111000…
…11111101001100
3100111021200021220
420013203331030
5234331400022
621303123340
73242452404
oct1007437514
9314250256
10136200012
116a9770a3
1239743550
13222a9830
1414135804
15be5585c
hex81e3f4c

136200012 has 96 divisors (see below), whose sum is σ = 353778432. Its totient is φ = 40525056.

The previous prime is 136200011. The next prime is 136200047. The reversal of 136200012 is 210002631.

136200012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 136199964 and 136200000.

It is not an unprimeable number, because it can be changed into a prime (136200011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867438 + ... + 867594.

It is an arithmetic number, because the mean of its divisors is an integer number (3685192).

Almost surely, 2136200012 is an apocalyptic number.

136200012 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 136200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176889216).

136200012 is an abundant number, since it is smaller than the sum of its proper divisors (217578420).

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

136200012 is a wasteful number, since it uses less digits than its factorization.

136200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 136200012 is about 11670.4760828340. The cubic root of 136200012 is about 514.5082962016.

Adding to 136200012 its reverse (210002631), we get a palindrome (346202643).

The spelling of 136200012 in words is "one hundred thirty-six million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 83 134 156 157 166 201 249 268 314 332 402 471 498 628 804 871 942 996 1079 1742 1884 2041 2158 2613 3237 3484 4082 4316 5226 5561 6123 6474 8164 10452 10519 11122 12246 12948 13031 16683 21038 22244 24492 26062 31557 33366 39093 42076 52124 63114 66732 72293 78186 126228 136747 144586 156372 169403 216879 273494 289172 338806 410241 433758 508209 546988 677612 820482 867516 873077 1016418 1640964 1746154 2032836 2619231 3492308 5238462 10476924 11350001 22700002 34050003 45400004 68100006 136200012