Search a number
-
+
132351125341204 = 227116127143259531
BaseRepresentation
bin11110000101111101100101…
…110011111100010000010100
3122100121122101111010121000201
4132011331211303330100110
5114321420101041404304
61145253133445350244
736610024160314120
oct3605754563742024
9570548344117021
10132351125341204
1139197884960910
1212a16650108384
1358b087189c133
142497b85b38580
151047b532b93a4
hex785f65cfc414

132351125341204 has 96 divisors (see below), whose sum is σ = 293511906035712. Its totient is φ = 50717975472000.

The previous prime is 132351125341157. The next prime is 132351125341207. The reversal of 132351125341204 is 402143521153231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132351125341207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509832919 + ... + 510092449.

It is an arithmetic number, because the mean of its divisors is an integer number (3057415687872).

Almost surely, 2132351125341204 is an apocalyptic number.

132351125341204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132351125341204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146755953017856).

132351125341204 is an abundant number, since it is smaller than the sum of its proper divisors (161160780694508).

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

132351125341204 is a wasteful number, since it uses less digits than its factorization.

132351125341204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286757 (or 286755 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 132351125341204 its reverse (402143521153231), we get a palindrome (534494646494435).

The spelling of 132351125341204 in words is "one hundred thirty-two trillion, three hundred fifty-one billion, one hundred twenty-five million, three hundred forty-one thousand, two hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 61 77 122 154 244 308 427 671 854 1342 1708 2684 4697 9394 18788 27143 54286 108572 190001 259531 298573 380002 519062 597146 760004 1038124 1194292 1655723 1816717 2090011 2854841 3311446 3633434 4180022 5709682 6622892 7266868 8360044 11419364 11590061 15831391 18212953 19983887 23180122 31662782 36425906 39967774 46360244 63325564 72851812 79935548 110819737 127490671 174145301 221639474 254981342 348290602 443278948 509962684 696581204 1219017107 2438034214 4876068428 7044449933 14088899866 28177799732 49311149531 77488949263 98622299062 154977898526 197244598124 309955797052 429711445913 542422644841 859422891826 1084845289682 1718845783652 2169690579364 3007980121391 4726825905043 6015960242782 9453651810086 12031920485564 18907303620172 33087781335301 66175562670602 132351125341204