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10321404419 is a prime number
BaseRepresentation
bin10011001110011010…
…00010001000000011
3222122022112200002202
421213031002020003
5132114234420134
64424103303415
7513526330034
oct114715021003
928568480082
1010321404419
1144171889a7
12200074ab6b
13c864709c1
146dcb08a8b
154061e8d7e
hex267342203

10321404419 has 2 divisors, whose sum is σ = 10321404420. Its totient is φ = 10321404418.

The previous prime is 10321404391. The next prime is 10321404421. The reversal of 10321404419 is 91440412301.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10321404419 is a prime.

It is a super-3 number, since 3×103214044193 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 10321404421, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10321404391 and 10321404400.

It is not a weakly prime, because it can be changed into another prime (10321404469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5160702209 + 5160702210.

It is an arithmetic number, because the mean of its divisors is an integer number (5160702210).

Almost surely, 210321404419 is an apocalyptic number.

10321404419 is a deficient number, since it is larger than the sum of its proper divisors (1).

10321404419 is an equidigital number, since it uses as much as digits as its factorization.

10321404419 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 10321404419 in words is "ten billion, three hundred twenty-one million, four hundred four thousand, four hundred nineteen".