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132771137211 = 3247647485131
BaseRepresentation
bin111101110100111000…
…1101100011010111011
3110200201001022121020100
41323221301230122323
54133403402342321
6140554430130443
712410123021406
oct1735161543273
9420631277210
10132771137211
1151342933579
1221894950a23
13c69c0375ab
1465d7538d3d
1536c129b326
hex1ee9c6c6bb

132771137211 has 24 divisors (see below), whose sum is σ = 196164094464. Its totient is φ = 86496738480.

The previous prime is 132771137183. The next prime is 132771137221. The reversal of 132771137211 is 112731177231.

132771137211 is a `hidden beast` number, since 1 + 3 + 277 + 1 + 1 + 372 + 11 = 666.

It is not a de Polignac number, because 132771137211 - 29 = 132771136699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132771137221) 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 23 ways as a sum of consecutive naturals, for example, 31116 + ... + 516246.

It is an arithmetic number, because the mean of its divisors is an integer number (8173503936).

Almost surely, 2132771137211 is an apocalyptic number.

132771137211 is a deficient number, since it is larger than the sum of its proper divisors (63392957253).

132771137211 is a wasteful number, since it uses less digits than its factorization.

132771137211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485831 (or 485828 counting only the distinct ones).

The product of its digits is 12348, while the sum is 36.

The spelling of 132771137211 in words is "one hundred thirty-two billion, seven hundred seventy-one million, one hundred thirty-seven thousand, two hundred eleven".

Divisors: 1 3 9 47 141 423 647 1941 5823 30409 91227 273681 485131 1455393 4366179 22801157 68403471 205210413 313879757 941639271 2824917813 14752348579 44257045737 132771137211