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132132223301 = 13531059718097
BaseRepresentation
bin111101100001110110…
…0011011100101000101
3110122001112002102010012
41323003230123211011
54131101322121201
6140411204040005
712355234236551
oct1730354334505
9418045072105
10132132223301
1151045217051
1221736993005
13c5c9865620
146576742861
1536851435bb
hex1ec3b1b945

132132223301 has 16 divisors (see below), whose sum is σ = 145002768624. Its totient is φ = 119649014784.

The previous prime is 132132223283. The next prime is 132132223319. The reversal of 132132223301 is 103322231231.

It is an interprime number because it is at equal distance from previous prime (132132223283) and next prime (132132223319).

It can be written as a sum of positive squares in 8 ways, for example, as 41127434401 + 91004788900 = 202799^2 + 301670^2 .

It is not a de Polignac number, because 132132223301 - 214 = 132132206917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132132223351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7292285 + ... + 7310381.

It is an arithmetic number, because the mean of its divisors is an integer number (9062673039).

Almost surely, 2132132223301 is an apocalyptic number.

It is an amenable number.

132132223301 is a deficient number, since it is larger than the sum of its proper divisors (12870545323).

132132223301 is a wasteful number, since it uses less digits than its factorization.

132132223301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28760.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 132132223301 its reverse (103322231231), we get a palindrome (235454454532).

The spelling of 132132223301 in words is "one hundred thirty-two billion, one hundred thirty-two million, two hundred twenty-three thousand, three hundred one".

Divisors: 1 13 53 689 10597 18097 137761 235261 561641 959141 7301333 12468833 191773909 2493060817 10164017177 132132223301