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240131431081 is a prime number
BaseRepresentation
bin1101111110100011110…
…0101101101010101001
3211221211011122121112201
43133220330231222221
512413242121243311
6302152001540201
723230452325543
oct3375074555251
9757734577481
10240131431081
1192925a29373
123a657644661
131984b69b6b9
14b89dd02693
1563a676d9c1
hex37e8f2daa9

240131431081 has 2 divisors, whose sum is σ = 240131431082. Its totient is φ = 240131431080.

The previous prime is 240131431079. The next prime is 240131431091. The reversal of 240131431081 is 180134131042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155144605456 + 84986825625 = 393884^2 + 291525^2 .

It is a cyclic number.

It is not a de Polignac number, because 240131431081 - 21 = 240131431079 is a prime.

It is a super-2 number, since 2×2401314310812 (a number of 24 digits) contains 22 as substring.

Together with 240131431079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (240131431091) 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 as a sum of consecutive naturals, namely, 120065715540 + 120065715541.

It is an arithmetic number, because the mean of its divisors is an integer number (120065715541).

Almost surely, 2240131431081 is an apocalyptic number.

It is an amenable number.

240131431081 is a deficient number, since it is larger than the sum of its proper divisors (1).

240131431081 is an equidigital number, since it uses as much as digits as its factorization.

240131431081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 240131431081 in words is "two hundred forty billion, one hundred thirty-one million, four hundred thirty-one thousand, eighty-one".