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10217243361 = 313307853357
BaseRepresentation
bin10011000001111111…
…01100001011100001
3222101001112201222210
421200333230023201
5131411103241421
64405502552333
7511123064343
oct114077541341
928331481883
1010217243361
114373405186
121b918986a9
13c6aa01240
146ccd53293
153ebec1576
hex260fec2e1

10217243361 has 16 divisors (see below), whose sum is σ = 14718718784. Its totient is φ = 6267046464.

The previous prime is 10217243357. The next prime is 10217243363. The reversal of 10217243361 is 16334271201.

It is a happy number.

10217243361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10217243361 - 22 = 10217243357 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10217243363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414706 + ... + 438651.

It is an arithmetic number, because the mean of its divisors is an integer number (919919924).

Almost surely, 210217243361 is an apocalyptic number.

It is an amenable number.

10217243361 is a deficient number, since it is larger than the sum of its proper divisors (4501475423).

10217243361 is a wasteful number, since it uses less digits than its factorization.

10217243361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853680.

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 10217243361 in words is "ten billion, two hundred seventeen million, two hundred forty-three thousand, three hundred sixty-one".

Divisors: 1 3 13 39 307 921 3991 11973 853357 2560071 11093641 33280923 261980599 785941797 3405747787 10217243361