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132223232130 = 23511593709953
BaseRepresentation
bin111101100100100011…
…1100110100010000010
3110122021212100010202120
41323021013212202002
54131243121412010
6140424214425110
712360420633453
oct1731107464202
9418255303676
10132223232130
1151091627360
1221761362196
13c61267b7c2
14658487312a
15368d11de70
hex1ec91e6882

132223232130 has 128 divisors (see below), whose sum is σ = 347621725440. Its totient is φ = 31921397760.

The previous prime is 132223232051. The next prime is 132223232137. The reversal of 132223232130 is 31232322231.

132223232130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1322232321302 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132223232130.

It is not an unprimeable number, because it can be changed into a prime (132223232137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138743734 + ... + 138744686.

It is an arithmetic number, because the mean of its divisors is an integer number (2715794730).

Almost surely, 2132223232130 is an apocalyptic number.

132223232130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132223232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173810862720).

132223232130 is an abundant number, since it is smaller than the sum of its proper divisors (215398493310).

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

132223232130 is a wasteful number, since it uses less digits than its factorization.

132223232130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 132223232130 its reverse (31232322231), we get a palindrome (163455554361).

The spelling of 132223232130 in words is "one hundred thirty-two billion, two hundred twenty-three million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 593 709 953 1186 1418 1779 1906 2127 2859 2965 3545 3558 4254 4765 5718 5930 6523 7090 7799 8895 9530 10483 10635 13046 14295 15598 17790 19569 20966 21270 23397 28590 31449 32615 38995 39138 46794 52415 62898 65230 77990 97845 104830 116985 157245 195690 233970 314490 420437 565129 675677 840874 1130258 1261311 1351354 1695387 2027031 2102185 2522622 2825645 3378385 3390774 4054062 4204370 4624807 5651290 6216419 6306555 6756770 7432447 8476935 9249614 10135155 12432838 12613110 13874421 14864894 16953870 18649257 20270310 22297341 23124035 27748842 31082095 37162235 37298514 44594682 46248070 62164190 69372105 74324470 93246285 111486705 138744210 186492570 222973410 400676461 801352922 1202029383 2003382305 2404058766 4006764610 4407441071 6010146915 8814882142 12020293830 13222323213 22037205355 26444646426 44074410710 66111616065 132223232130