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20401024321 is a prime number
BaseRepresentation
bin10010111111111111…
…101110110101000001
31221122210010102012101
4102333333232311001
5313240130234241
613212212430401
71321361563006
oct227777566501
957583112171
1020401024321
118719934587
123b54318401
131c017b7532
14db76758ad
157e6082e31
hex4bffeed41

20401024321 has 2 divisors, whose sum is σ = 20401024322. Its totient is φ = 20401024320.

The previous prime is 20401024297. The next prime is 20401024331. The reversal of 20401024321 is 12342010402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15236446096 + 5164578225 = 123436^2 + 71865^2 .

It is a cyclic number.

It is not a de Polignac number, because 20401024321 - 223 = 20392635713 is a prime.

It is a super-2 number, since 2×204010243212 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20401024331) 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, 10200512160 + 10200512161.

It is an arithmetic number, because the mean of its divisors is an integer number (10200512161).

Almost surely, 220401024321 is an apocalyptic number.

It is an amenable number.

20401024321 is a deficient number, since it is larger than the sum of its proper divisors (1).

20401024321 is an equidigital number, since it uses as much as digits as its factorization.

20401024321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20401024321 its reverse (12342010402), we get a palindrome (32743034723).

The spelling of 20401024321 in words is "twenty billion, four hundred one million, twenty-four thousand, three hundred twenty-one".