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132202220301 = 32132111119709
BaseRepresentation
bin111101100011111011…
…1011100101100001101
3110122020101210121221200
41323013313130230031
54131222232022201
6140422144220113
712360044221464
oct1730767345415
9418211717850
10132202220301
1151080785908
122175630a639
13c60b202978
146581b639db
15368b36d386
hex1ec7ddcb0d

132202220301 has 12 divisors (see below), whose sum is σ = 191103336060. Its totient is φ = 88068087360.

The previous prime is 132202220291. The next prime is 132202220303. The reversal of 132202220301 is 103022202231.

132202220301 is a `hidden beast` number, since 1 + 322 + 0 + 22 + 20 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70474320900 + 61727899401 = 265470^2 + 248451^2 .

It is not a de Polignac number, because 132202220301 - 210 = 132202219277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132202220303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5547966 + ... + 5571743.

It is an arithmetic number, because the mean of its divisors is an integer number (15925278005).

Almost surely, 2132202220301 is an apocalyptic number.

It is an amenable number.

132202220301 is a deficient number, since it is larger than the sum of its proper divisors (58901115759).

132202220301 is a wasteful number, since it uses less digits than its factorization.

132202220301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11121036 (or 11121033 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132202220301 its reverse (103022202231), we get a palindrome (235224422532).

The spelling of 132202220301 in words is "one hundred thirty-two billion, two hundred two million, two hundred twenty thousand, three hundred one".

Divisors: 1 3 9 1321 3963 11889 11119709 33359127 100077381 14689135589 44067406767 132202220301