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132606830130 = 23541796412129
BaseRepresentation
bin111101101111111111…
…0111010011000110010
3110200021121010221021220
41323133332322120302
54133034322031010
6140530240325510
712403056313125
oct1733776723062
9420247127256
10132606830130
115126910a1a5
1221849913896
13c673c99578
1465bd7a83bc
1536b1b42970
hex1edffba632

132606830130 has 128 divisors (see below), whose sum is σ = 330815923200. Its totient is φ = 33993523200.

The previous prime is 132606830047. The next prime is 132606830189. The reversal of 132606830130 is 31038606231.

132606830130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132606830091 and 132606830100.

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, 62284906 + ... + 62287034.

It is an arithmetic number, because the mean of its divisors is an integer number (2584499400).

Almost surely, 2132606830130 is an apocalyptic number.

132606830130 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 132606830130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165407961600).

132606830130 is an abundant number, since it is smaller than the sum of its proper divisors (198209093070).

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

132606830130 is a wasteful number, since it uses less digits than its factorization.

132606830130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900.

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 132606830130 in words is "one hundred thirty-two billion, six hundred six million, eight hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 79 82 123 158 205 237 246 395 410 474 615 641 790 1185 1230 1282 1923 2129 2370 3205 3239 3846 4258 6387 6410 6478 9615 9717 10645 12774 16195 19230 19434 21290 26281 31935 32390 48585 50639 52562 63870 78843 87289 97170 101278 131405 151917 157686 168191 174578 253195 261867 262810 303834 336382 394215 436445 504573 506390 523734 759585 788430 840955 872890 1009146 1309335 1364689 1519170 1681910 2076199 2522865 2618670 2729378 4094067 4152398 5045730 6228597 6823445 6895831 8188134 10380995 12457194 13646890 13791662 20470335 20687493 20761990 31142985 34479155 40940670 41374986 55952249 62285970 68958310 103437465 107810431 111904498 167856747 206874930 215620862 279761245 323431293 335713494 539052155 559522490 646862586 839283735 1078104310 1617156465 1678567470 3234312930 4420227671 8840455342 13260683013 22101138355 26521366026 44202276710 66303415065 132606830130