Search a number
-
+
132113212 = 227211292113
BaseRepresentation
bin1111101111111…
…10001100111100
3100012121001020221
413313332030330
5232310110322
621035351124
73162641500
oct767761474
9305531227
10132113212
1168635680
12382b24a4
13214a85ca
1413790300
15b8e99c7
hex7dfe33c

132113212 has 72 divisors (see below), whose sum is σ = 303654960. Its totient is φ = 49674240.

The previous prime is 132113209. The next prime is 132113249. The reversal of 132113212 is 212311231.

It is a super-4 number, since 4×1321132124 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 61468 + ... + 63580.

It is an arithmetic number, because the mean of its divisors is an integer number (4217430).

Almost surely, 2132113212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132113212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151827480).

132113212 is an abundant number, since it is smaller than the sum of its proper divisors (171541748).

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

132113212 is a wasteful number, since it uses less digits than its factorization.

132113212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2162 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 132113212 is about 11494.0511570116. The cubic root of 132113212 is about 509.3098597971.

Adding to 132113212 its reverse (212311231), we get a palindrome (344424443).

The spelling of 132113212 in words is "one hundred thirty-two million, one hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 58 77 98 116 154 196 203 308 319 406 539 638 812 1078 1276 1421 2113 2156 2233 2842 4226 4466 5684 8452 8932 14791 15631 23243 29582 31262 46486 59164 61277 62524 92972 103537 122554 162701 207074 245108 325402 414148 428939 650804 674047 857878 1138907 1348094 1715756 2277814 2696188 3002573 4555628 4718329 6005146 9436658 12010292 18873316 33028303 66056606 132113212