Search a number
-
+
262031881681 is a prime number
BaseRepresentation
bin1111010000001001010…
…0010011010111010001
3221001100110012202220201
43310002110103113101
513243120130203211
6320213100335201
724634252150003
oct3640224232721
9831313182821
10262031881681
11a1144191019
1242949b44501
131b92ba06ccb
14c97a76c373
156c392860c1
hex3d025135d1

262031881681 has 2 divisors, whose sum is σ = 262031881682. Its totient is φ = 262031881680.

The previous prime is 262031881607. The next prime is 262031881697. The reversal of 262031881681 is 186188130262.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155598691600 + 106433190081 = 394460^2 + 326241^2 .

It is a cyclic number.

It is not a de Polignac number, because 262031881681 - 29 = 262031881169 is a prime.

It is a super-2 number, since 2×2620318816812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (262031881481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131015940840 + 131015940841.

It is an arithmetic number, because the mean of its divisors is an integer number (131015940841).

Almost surely, 2262031881681 is an apocalyptic number.

It is an amenable number.

262031881681 is a deficient number, since it is larger than the sum of its proper divisors (1).

262031881681 is an equidigital number, since it uses as much as digits as its factorization.

262031881681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 262031881681 in words is "two hundred sixty-two billion, thirty-one million, eight hundred eighty-one thousand, six hundred eighty-one".