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132201324025 = 52727192
BaseRepresentation
bin111101100011111010…
…0000001110111111001
3110122020100010002111021
41323013310001313321
54131222014332100
6140422113102441
712360033466441
oct1730764016771
9418210102437
10132201324025
1151080223491
1221755b57a21
13c60ac7aa24
1465819ad121
15368b242a1a
hex1ec7d01df9

132201324025 has 9 divisors (see below), whose sum is σ = 163931896111. Its totient is φ = 105759604840.

The previous prime is 132201324011. The next prime is 132201324043. The reversal of 132201324025 is 520423102231.

The square root of 132201324025 is 363595.

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., 47592476649 + 84608847376 = 218157^2 + 290876^2 .

It is not a de Polignac number, because 132201324025 - 211 = 132201321977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1781616 + ... + 1854334.

Almost surely, 2132201324025 is an apocalyptic number.

132201324025 is the 363595-th square number.

132201324025 is the 181798-th centered octagonal number.

It is an amenable number.

132201324025 is a deficient number, since it is larger than the sum of its proper divisors (31730572086).

132201324025 is an frugal number, since it uses more digits than its factorization.

132201324025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145448 (or 72724 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Multiplying 132201324025 by its sum of digits (25), we get a square (3305033100625 = 18179752).

132201324025 divided by its sum of digits (25) gives a square (5288052961 = 727192).

Adding to 132201324025 its reverse (520423102231), we get a palindrome (652624426256).

The spelling of 132201324025 in words is "one hundred thirty-two billion, two hundred one million, three hundred twenty-four thousand, twenty-five".

Divisors: 1 5 25 72719 363595 1817975 5288052961 26440264805 132201324025