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132021042409 = 127228612
BaseRepresentation
bin111101011110100010…
…0010011110011101001
3110121202202212211121101
41322331010103303221
54130334341324114
6140352153041401
712352414226164
oct1727504236351
9417682784541
10132021042409
1150a98489213
12217056b6261
13c5ac808909
146565a80adb
15367a4d0d74
hex1ebd113ce9

132021042409 has 9 divisors (see below), whose sum is σ = 133115291031. Its totient is φ = 130935724920.

The previous prime is 132021042401. The next prime is 132021042467. The reversal of 132021042409 is 904240120231.

The square root of 132021042409 is 363347.

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., 73795352409 + 58225690000 = 271653^2 + 241300^2 .

It is not a de Polignac number, because 132021042409 - 23 = 132021042401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132021042401) 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, 46143639 + ... + 46146499.

Almost surely, 2132021042409 is an apocalyptic number.

132021042409 is the 363347-th square number.

132021042409 is the 181674-th centered octagonal number.

It is an amenable number.

132021042409 is a deficient number, since it is larger than the sum of its proper divisors (1094248622).

132021042409 is an frugal number, since it uses more digits than its factorization.

132021042409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 132021042409 in words is "one hundred thirty-two billion, twenty-one million, forty-two thousand, four hundred nine".

Divisors: 1 127 2861 16129 363347 8185321 46145069 1039535767 132021042409