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2722135141 = 112931275269
BaseRepresentation
bin1010001001000000…
…0111110001100101
321000201011210102001
42202100013301211
521033331311031
61130040445301
7124312524025
oct24220076145
97021153361
102722135141
111177635470
1263b779831
13344c6696b
141bb755a85
1510dea8861
hexa2407c65

2722135141 has 16 divisors (see below), whose sum is σ = 3171110400. Its totient is φ = 2312251200.

The previous prime is 2722135121. The next prime is 2722135159. The reversal of 2722135141 is 1415312272.

It is not a de Polignac number, because 2722135141 - 29 = 2722134629 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 (2722135121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127746 + ... + 147523.

It is an arithmetic number, because the mean of its divisors is an integer number (198194400).

Almost surely, 22722135141 is an apocalyptic number.

It is an amenable number.

2722135141 is a deficient number, since it is larger than the sum of its proper divisors (448975259).

2722135141 is a wasteful number, since it uses less digits than its factorization.

2722135141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275340.

The product of its digits is 3360, while the sum is 28.

The square root of 2722135141 is about 52174.0849560392. The cubic root of 2722135141 is about 1396.2715659360.

The spelling of 2722135141 in words is "two billion, seven hundred twenty-two million, one hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 11 29 31 319 341 899 9889 275269 3027959 7982801 8533339 87810811 93866729 247466831 2722135141