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132533130601 = 73249872
BaseRepresentation
bin111101101101110010…
…1110001010101101001
3110200002110110121112201
41323123211301111221
54132411440134401
6140515044540201
712401203010524
oct1733345612551
9420073417481
10132533130601
11512305516a3
12218290b1661
13c661933b91
1465b3aa1bbb
1536aa435b01
hex1edb971569

132533130601 has 9 divisors (see below), whose sum is σ = 134400473271. Its totient is φ = 130691396592.

The previous prime is 132533130599. The next prime is 132533130643. The reversal of 132533130601 is 106031335231.

The square root of 132533130601 is 364051.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 75232261225 + 57300869376 = 274285^2 + 239376^2 .

It is not a de Polignac number, because 132533130601 - 21 = 132533130599 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 132533130601.

It is not an unprimeable number, because it can be changed into a prime (132533130661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26573230 + ... + 26578216.

It is an arithmetic number, because the mean of its divisors is an integer number (14933385919).

Almost surely, 2132533130601 is an apocalyptic number.

132533130601 is the 364051-st square number.

132533130601 is the 182026-th centered octagonal number.

It is an amenable number.

132533130601 is a deficient number, since it is larger than the sum of its proper divisors (1867342670).

132533130601 is an frugal number, since it uses more digits than its factorization.

132533130601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10120 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

Adding to 132533130601 its reverse (106031335231), we get a palindrome (238564465832).

The spelling of 132533130601 in words is "one hundred thirty-two billion, five hundred thirty-three million, one hundred thirty thousand, six hundred one".

Divisors: 1 73 4987 5329 364051 24870169 26575723 1815522337 132533130601