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132130033230 = 235134677191009
BaseRepresentation
bin111101100001110010…
…0000100111001001110
3110122001100222010220110
41323003210010321032
54131100242030410
6140411045100450
712355206515526
oct1730344047116
9418040863813
10132130033230
1151043a60678
12217360b7726
13c5c9279820
146576332686
153684d5e720
hex1ec3904e4e

132130033230 has 128 divisors (see below), whose sum is σ = 343052236800. Its totient is φ = 32377411584.

The previous prime is 132130033207. The next prime is 132130033279. The reversal of 132130033230 is 32330031231.

It is a junction number, because it is equal to n+sod(n) for n = 132130033197 and 132130033206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130950966 + ... + 130951974.

It is an arithmetic number, because the mean of its divisors is an integer number (2680095600).

Almost surely, 2132130033230 is an apocalyptic number.

132130033230 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 132130033230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171526118400).

132130033230 is an abundant number, since it is smaller than the sum of its proper divisors (210922203570).

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

132130033230 is a wasteful number, since it uses less digits than its factorization.

132130033230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 132130033230 its reverse (32330031231), we get a palindrome (164460064461).

The spelling of 132130033230 in words is "one hundred thirty-two billion, one hundred thirty million, thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 467 719 934 1009 1401 1438 2018 2157 2335 2802 3027 3595 4314 4670 5045 6054 6071 7005 7190 9347 10090 10785 12142 13117 14010 15135 18213 18694 21570 26234 28041 30270 30355 36426 39351 46735 56082 60710 65585 78702 91065 93470 131170 140205 182130 196755 280410 335773 393510 471203 671546 725471 942406 1007319 1413609 1450942 1678865 2014638 2176413 2356015 2827218 3357730 3627355 4352826 4365049 4712030 5036595 6125639 7068045 7254710 8730098 9431123 10073190 10882065 12251278 13095147 14136090 18376917 18862246 21764130 21825245 26190294 28293369 30628195 36753834 43650490 47155615 56586738 61256390 65475735 91884585 94311230 130951470 141466845 183769170 282933690 338794957 677589914 1016384871 1693974785 2032769742 3387949570 4404334441 5081924355 8808668882 10163848710 13213003323 22021672205 26426006646 44043344410 66065016615 132130033230