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134203212 = 22321113131199
BaseRepresentation
bin1111111111111…
…00011101001100
3100100112020012100
413333330131030
5233324000322
621152235100
73216465003
oct777743514
9310466170
10134203212
1169832950
1238b3ba90
1321a5a9b0
1413b75c3a
15bbaddac
hex7ffc74c

134203212 has 144 divisors (see below), whose sum is σ = 403603200. Its totient is φ = 37065600.

The previous prime is 134203171. The next prime is 134203217. The reversal of 134203212 is 212302431.

134203212 is a `hidden beast` number, since 1 + 342 + 0 + 321 + 2 = 666.

It is a super-2 number, since 2×1342032122 = 36021004222233888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (134203217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674289 + ... + 674487.

It is an arithmetic number, because the mean of its divisors is an integer number (2802800).

Almost surely, 2134203212 is an apocalyptic number.

134203212 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 134203212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201801600).

134203212 is an abundant number, since it is smaller than the sum of its proper divisors (269399988).

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

134203212 is a wasteful number, since it uses less digits than its factorization.

134203212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 134203212 is about 11584.6109990798. The cubic root of 134203212 is about 511.9815412860.

Adding to 134203212 its reverse (212302431), we get a palindrome (346505643).

The spelling of 134203212 in words is "one hundred thirty-four million, two hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 131 132 143 156 198 199 234 262 286 393 396 398 429 468 524 572 597 786 796 858 1179 1194 1287 1441 1572 1703 1716 1791 2189 2358 2388 2574 2587 2882 3406 3582 4323 4378 4716 5109 5148 5174 5764 6567 6812 7164 7761 8646 8756 10218 10348 12969 13134 15327 15522 17292 18733 19701 20436 23283 25938 26069 26268 28457 30654 31044 37466 39402 46566 51876 52138 56199 56914 61308 74932 78207 78804 85371 93132 104276 112398 113828 156414 168597 170742 224796 234621 256113 286759 312828 337194 338897 341484 469242 512226 573518 674388 677794 860277 938484 1016691 1024452 1147036 1355588 1720554 2033382 2580831 3050073 3441108 3727867 4066764 5161662 6100146 7455734 10323324 11183601 12200292 14911468 22367202 33550803 44734404 67101606 134203212