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240131996801 is a prime number
BaseRepresentation
bin1101111110100011111…
…0110111110010000001
3211221211012201100120022
43133220332313302001
512413242242344201
6302152022023225
723230460203064
oct3375076676201
9757735640508
10240131996801
1192926285404
123a657877b15
131984b839048
14b8a000c8db
1563a683141b
hex37e8fb7c81

240131996801 has 2 divisors, whose sum is σ = 240131996802. Its totient is φ = 240131996800.

The previous prime is 240131996651. The next prime is 240131996833. The reversal of 240131996801 is 108699131042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178739546176 + 61392450625 = 422776^2 + 247775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-240131996801 is a prime.

It is not a weakly prime, because it can be changed into another prime (240131996201) 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, 120065998400 + 120065998401.

It is an arithmetic number, because the mean of its divisors is an integer number (120065998401).

Almost surely, 2240131996801 is an apocalyptic number.

It is an amenable number.

240131996801 is a deficient number, since it is larger than the sum of its proper divisors (1).

240131996801 is an equidigital number, since it uses as much as digits as its factorization.

240131996801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 240131996801 in words is "two hundred forty billion, one hundred thirty-one million, nine hundred ninety-six thousand, eight hundred one".