Search a number
-
+
132202444130000 = 245429455870497
BaseRepresentation
bin11110000011110011000111…
…101110001000011011010000
3122100002102121122012111021122
4132003303013232020123100
5114312001101144130000
61145100544151141412
736563211544006136
oct3603630756103320
9570072548174248
10132202444130000
113913a818223262
12129b1877074868
13589c83860599a
1424908bd599756
151043d5038c085
hex783cc7b886d0

132202444130000 has 100 divisors (see below), whose sum is σ = 331112418812340. Its totient is φ = 51057495552000.

The previous prime is 132202444129981. The next prime is 132202444130027. The reversal of 132202444130000 is 31444202231.

It can be written as a sum of positive squares in 10 ways, for example, as 110318722705984 + 21883721424016 = 10503272^2 + 4678004^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227645249 + ... + 228225248.

Almost surely, 2132202444130000 is an apocalyptic number.

132202444130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132202444130000 is an abundant number, since it is smaller than the sum of its proper divisors (198909974682340).

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

132202444130000 is an equidigital number, since it uses as much as digits as its factorization.

132202444130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455870554 (or 455870533 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 132202444130000 its reverse (31444202231), we get a palindrome (132233888332231).

The spelling of 132202444130000 in words is "one hundred thirty-two trillion, two hundred two billion, four hundred forty-four million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3625 5000 5800 7250 10000 11600 14500 18125 29000 36250 58000 72500 145000 290000 455870497 911740994 1823481988 2279352485 3646963976 4558704970 7293927952 9117409940 11396762425 13220244413 18234819880 22793524850 26440488826 36469639760 45587049700 52880977652 56983812125 66101222065 91174099400 105761955304 113967624250 132202444130 182348198800 211523910608 227935248500 264404888260 284919060625 330506110325 455870497000 528809776520 569838121250 661012220650 911740994000 1057619553040 1139676242500 1322024441300 1652530551625 2279352485000 2644048882600 3305061103250 4558704970000 5288097765200 6610122206500 8262652758125 13220244413000 16525305516250 26440488826000 33050611032500 66101222065000 132202444130000