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10705301 is a prime number
BaseRepresentation
bin101000110101…
…100110010101
3202010212220122
4220311212111
510220032201
61021241325
7156664535
oct50654625
922125818
1010705301
116052062
123703245
1322aa8c9
1415c94c5
15e16e1b
hexa35995

10705301 has 2 divisors, whose sum is σ = 10705302. Its totient is φ = 10705300.

The previous prime is 10705283. The next prime is 10705333. The reversal of 10705301 is 10350701.

10705301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7695076 + 3010225 = 2774^2 + 1735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10705301 is a prime.

It is a super-2 number, since 2×107053012 = 229206939001202, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10705301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10705361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5352650 + 5352651.

It is an arithmetic number, because the mean of its divisors is an integer number (5352651).

Almost surely, 210705301 is an apocalyptic number.

It is an amenable number.

10705301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10705301 is an equidigital number, since it uses as much as digits as its factorization.

10705301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 10705301 is about 3271.8956279197. The cubic root of 10705301 is about 220.3939292006.

The spelling of 10705301 in words is "ten million, seven hundred five thousand, three hundred one".