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21240098178001 is a prime number
BaseRepresentation
bin1001101010001010110001…
…00000011100001111010001
32210012112101221222010000221
410311011120200130033101
510240444210113144001
6113101322201513041
74321355301431653
oct465053040341721
983175357863027
1021240098178001
11684996976980a
122470581aa2781
13bb0c180a7391
14536051dcc6d3
1526c784e9d1a1
hex13515881c3d1

21240098178001 has 2 divisors, whose sum is σ = 21240098178002. Its totient is φ = 21240098178000.

The previous prime is 21240098177959. The next prime is 21240098178029. The reversal of 21240098178001 is 10087189004212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16442578953025 + 4797519224976 = 4054945^2 + 2190324^2 .

It is a cyclic number.

It is not a de Polignac number, because 21240098178001 - 27 = 21240098177873 is a prime.

It is a super-2 number, since 2×212400981780012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21240098178701) 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, 10620049089000 + 10620049089001.

It is an arithmetic number, because the mean of its divisors is an integer number (10620049089001).

Almost surely, 221240098178001 is an apocalyptic number.

It is an amenable number.

21240098178001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21240098178001 is an equidigital number, since it uses as much as digits as its factorization.

21240098178001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 43.

The spelling of 21240098178001 in words is "twenty-one trillion, two hundred forty billion, ninety-eight million, one hundred seventy-eight thousand, one".