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134213112 = 23341119991
BaseRepresentation
bin1111111111111…
…10110111111000
3100100112201210000
413333332313320
5233324304422
621152353000
73216535605
oct777766770
9310481700
10134213112
116983a330
1238b45760
1321a62357
1413b796ac
15bbb1cac
hex7ffedf8

134213112 has 160 divisors (see below), whose sum is σ = 432115200. Its totient is φ = 38491200.

The previous prime is 134213111. The next prime is 134213231. The reversal of 134213112 is 211312431.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134213111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134937 + ... + 135927.

It is an arithmetic number, because the mean of its divisors is an integer number (2700720).

Almost surely, 2134213112 is an apocalyptic number.

134213112 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 134213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216057600).

134213112 is an abundant number, since it is smaller than the sum of its proper divisors (297902088).

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

134213112 is a wasteful number, since it uses less digits than its factorization.

134213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1026 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 134213112 is about 11585.0382821983. The cubic root of 134213112 is about 511.9941303852.

Adding to 134213112 its reverse (211312431), we get a palindrome (345525543).

The spelling of 134213112 in words is "one hundred thirty-four million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 81 88 99 108 114 132 152 162 171 198 209 216 228 264 297 324 342 396 418 456 513 594 627 648 684 792 836 891 991 1026 1188 1254 1368 1539 1672 1782 1881 1982 2052 2376 2508 2973 3078 3564 3762 3964 4104 5016 5643 5946 6156 7128 7524 7928 8919 10901 11286 11892 12312 15048 16929 17838 18829 21802 22572 23784 26757 32703 33858 35676 37658 43604 45144 53514 56487 65406 67716 71352 75316 80271 87208 98109 107028 112974 130812 135432 150632 160542 169461 196218 207119 214056 225948 261624 294327 321084 338922 392436 414238 451896 508383 588654 621357 642168 677844 784872 828476 882981 1016766 1177308 1242714 1355688 1525149 1656952 1765962 1864071 2033532 2354616 2485428 3050298 3531924 3728142 4067064 4970856 5592213 6100596 7063848 7456284 11184426 12201192 14912568 16776639 22368852 33553278 44737704 67106556 134213112