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240020826181 is a prime number
BaseRepresentation
bin1101111110001001011…
…0110010100001000101
3211221112110112022010221
43133202112302201011
512413030312414211
6302133011144341
723224640234353
oct3374226624105
9757473468127
10240020826181
1192879554264
123a6265a50b1
13198317b3c06
14b88d3507d3
15639bbc1c71
hex37e25b2845

240020826181 has 2 divisors, whose sum is σ = 240020826182. Its totient is φ = 240020826180.

The previous prime is 240020826127. The next prime is 240020826229. The reversal of 240020826181 is 181628020042.

240020826181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152310672900 + 87710153281 = 390270^2 + 296159^2 .

It is a cyclic number.

It is not a de Polignac number, because 240020826181 - 29 = 240020825669 is a prime.

It is a super-2 number, since 2×2400208261812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (240020826581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120010413090 + 120010413091.

It is an arithmetic number, because the mean of its divisors is an integer number (120010413091).

Almost surely, 2240020826181 is an apocalyptic number.

It is an amenable number.

240020826181 is a deficient number, since it is larger than the sum of its proper divisors (1).

240020826181 is an equidigital number, since it uses as much as digits as its factorization.

240020826181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 240020826181 in words is "two hundred forty billion, twenty million, eight hundred twenty-six thousand, one hundred eighty-one".