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10117455701 = 171573790729
BaseRepresentation
bin10010110110000110…
…00001111101010101
3222010002210000001112
421123003001331111
5131210032040301
64351540104405
7505501645253
oct113303017525
928102700045
1010117455701
114322049241
121b64395105
13c531332a2
146bd9b95d3
153e335e9bb
hex25b0c1f55

10117455701 has 8 divisors (see below), whose sum is σ = 10780836120. Its totient is φ = 9461657088.

The previous prime is 10117455679. The next prime is 10117455743. The reversal of 10117455701 is 10755471101.

10117455701 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3801339025 + 6316116676 = 61655^2 + 79474^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10117455701 - 222 = 10113261397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117455401) 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 7 ways as a sum of consecutive naturals, for example, 1892696 + ... + 1898033.

It is an arithmetic number, because the mean of its divisors is an integer number (1347604515).

Almost surely, 210117455701 is an apocalyptic number.

It is an amenable number.

10117455701 is a deficient number, since it is larger than the sum of its proper divisors (663380419).

10117455701 is a wasteful number, since it uses less digits than its factorization.

10117455701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790903.

The product of its (nonzero) digits is 4900, while the sum is 32.

The spelling of 10117455701 in words is "ten billion, one hundred seventeen million, four hundred fifty-five thousand, seven hundred one".

Divisors: 1 17 157 2669 3790729 64442393 595144453 10117455701