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132130001432 = 231113210981509
BaseRepresentation
bin111101100001110001…
…1111101001000011000
3110122001100220112021202
41323003203331020120
54131100240021212
6140411044253332
712355206324032
oct1730343751030
9418040815252
10132130001432
1151043a397a0
12217360a1248
13c5c9268200
146576324c52
153684d550c2
hex1ec38fd218

132130001432 has 96 divisors (see below), whose sum is σ = 295343334000. Its totient is φ = 54929871360.

The previous prime is 132130001429. The next prime is 132130001461. The reversal of 132130001432 is 234100031231.

132130001432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1580294 + ... + 1661802.

Almost surely, 2132130001432 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 132130001432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147671667000).

132130001432 is an abundant number, since it is smaller than the sum of its proper divisors (163213332568).

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

132130001432 is a wasteful number, since it uses less digits than its factorization.

132130001432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81661 (or 81644 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 132130001432 its reverse (234100031231), we get a palindrome (366230032663).

The spelling of 132130001432 in words is "one hundred thirty-two billion, one hundred thirty million, one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 109 143 169 218 286 338 436 572 676 872 1144 1199 1352 1417 1859 2398 2834 3718 4796 5668 7436 9592 11336 14872 15587 18421 31174 36842 62348 73684 81509 124696 147368 163018 202631 326036 405262 652072 810524 896599 1059617 1621048 1793198 2119234 3586396 4238468 7172792 8476936 8884481 11655787 13775021 17768962 23311574 27550042 35537924 46623148 55100084 71075848 93246296 97729291 110200168 115498253 151525231 195458582 230996506 303050462 390917164 461993012 606100924 781834328 923986024 1212201848 1270480783 1501477289 2540961566 3002954578 5081923132 6005909156 10163846264 12011818312 16516250179 33032500358 66065000716 132130001432