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1035705401 is a prime number
BaseRepresentation
bin111101101110111…
…001110000111001
32200011212021201022
4331232321300321
54110120033101
6250434432225
734444231163
oct7556716071
92604767638
101035705401
114916a0885
1224aa32675
1313675c043
149b7a3933
1560dd5a1b
hex3dbb9c39

1035705401 has 2 divisors, whose sum is σ = 1035705402. Its totient is φ = 1035705400.

The previous prime is 1035705389. The next prime is 1035705403. The reversal of 1035705401 is 1045075301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1032979600 + 2725801 = 32140^2 + 1651^2 .

It is an emirp because it is prime and its reverse (1045075301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1035705401 - 26 = 1035705337 is a prime.

It is a super-3 number, since 3×10357054013 (a number of 28 digits) contains 333 as substring.

Together with 1035705403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1035705403) 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, 517852700 + 517852701.

It is an arithmetic number, because the mean of its divisors is an integer number (517852701).

Almost surely, 21035705401 is an apocalyptic number.

It is an amenable number.

1035705401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035705401 is an equidigital number, since it uses as much as digits as its factorization.

1035705401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 1035705401 is about 32182.3771806869. The cubic root of 1035705401 is about 1011.7628921744.

The spelling of 1035705401 in words is "one billion, thirty-five million, seven hundred five thousand, four hundred one".