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132205151141 = 723772920657
BaseRepresentation
bin111101100100000001…
…0101000001110100101
3110122020121022112022022
41323020002220032211
54131224004314031
6140422331112525
712360111146300
oct1731002501645
9418217275268
10132205151141
11510823a7898
12217572a2745
13c60b9ba9ab
1465822c7b37
15368b74b97b
hex1ec80a83a5

132205151141 has 12 divisors (see below), whose sum is σ = 157946145228. Its totient is φ = 110256031872.

The previous prime is 132205151123. The next prime is 132205151189. The reversal of 132205151141 is 141151502231.

It can be written as a sum of positive squares in 2 ways, for example, as 57637926241 + 74567224900 = 240079^2 + 273070^2 .

It is not a de Polignac number, because 132205151141 - 214 = 132205134757 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132205151141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132205151041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36458516 + ... + 36462141.

It is an arithmetic number, because the mean of its divisors is an integer number (13162178769).

Almost surely, 2132205151141 is an apocalyptic number.

It is an amenable number.

132205151141 is a deficient number, since it is larger than the sum of its proper divisors (25740994087).

132205151141 is an equidigital number, since it uses as much as digits as its factorization.

132205151141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72920708 (or 72920701 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 132205151141 its reverse (141151502231), we get a palindrome (273356653372).

The spelling of 132205151141 in words is "one hundred thirty-two billion, two hundred five million, one hundred fifty-one thousand, one hundred forty-one".

Divisors: 1 7 37 49 259 1813 72920657 510444599 2698064309 3573112193 18886450163 132205151141