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272131681 is a prime number
BaseRepresentation
bin10000001110000…
…110011001100001
3200222001201111011
4100032012121201
51024131203211
643000420521
76513036553
oct2016063141
9628051434
10272131681
1112a67a618
1277177741
13444c1183
14281db4d3
1518d56921
hex10386661

272131681 has 2 divisors, whose sum is σ = 272131682. Its totient is φ = 272131680.

The previous prime is 272131669. The next prime is 272131687. The reversal of 272131681 is 186131272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 272085025 + 46656 = 16495^2 + 216^2 .

It is a cyclic number.

It is not a de Polignac number, because 272131681 - 215 = 272098913 is a prime.

It is a super-2 number, since 2×2721316812 = 148111303607771522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (272131687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136065840 + 136065841.

It is an arithmetic number, because the mean of its divisors is an integer number (136065841).

Almost surely, 2272131681 is an apocalyptic number.

It is an amenable number.

272131681 is a deficient number, since it is larger than the sum of its proper divisors (1).

272131681 is an equidigital number, since it uses as much as digits as its factorization.

272131681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 31.

The square root of 272131681 is about 16496.4141861194. The cubic root of 272131681 is about 648.0269010640.

The spelling of 272131681 in words is "two hundred seventy-two million, one hundred thirty-one thousand, six hundred eighty-one".