Search a number
-
+
132132021210 = 23257211993997
BaseRepresentation
bin111101100001110101…
…1101010001111011010
3110122001111201010220100
41323003223222033122
54131101244134320
6140411155440230
712355232435430
oct1730353521732
9418044633810
10132132021210
1151045099232
12217368b6076
13c5c97c4647
1465766ccd50
153685103790
hex1ec3aea3da

132132021210 has 96 divisors (see below), whose sum is σ = 394482022272. Its totient is φ = 30058439040.

The previous prime is 132132021191. The next prime is 132132021251. The reversal of 132132021210 is 12120231231.

132132021210 is a `hidden beast` number, since 1 + 321 + 320 + 2 + 1 + 21 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364069 + ... + 629928.

It is an arithmetic number, because the mean of its divisors is an integer number (4109187732).

Almost surely, 2132132021210 is an apocalyptic number.

132132021210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132132021210 is an abundant number, since it is smaller than the sum of its proper divisors (262350001062).

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

132132021210 is a wasteful number, since it uses less digits than its factorization.

132132021210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994228 (or 994225 counting only the distinct ones).

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

Adding to 132132021210 its reverse (12120231231), we get a palindrome (144252252441).

The spelling of 132132021210 in words is "one hundred thirty-two billion, one hundred thirty-two million, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 211 315 422 630 633 1055 1266 1477 1899 2110 2954 3165 3798 4431 6330 7385 8862 9495 13293 14770 18990 22155 26586 44310 66465 132930 993997 1987994 2981991 4969985 5963982 6957979 8945973 9939970 13915958 14909955 17891946 20873937 29819910 34789895 41747874 44729865 62621811 69579790 89459730 104369685 125243622 208739370 209733367 313109055 419466734 626218110 629200101 1048666835 1258400202 1468133569 1887600303 2097333670 2936267138 3146000505 3775200606 4404400707 6292001010 7340667845 8808801414 9438001515 13213202121 14681335690 18876003030 22022003535 26426404242 44044007070 66066010605 132132021210