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10160101008 = 243270556257
BaseRepresentation
bin10010111011001011…
…01101011010010000
3222020002000121102100
421131211231122100
5131301441213013
64400102120400
7506530301511
oct113545553220
928202017370
1010160101008
1143441262a2
121b76720100
13c5bc14bb5
146c551aa08
153e6e85473
hex25d96d690

10160101008 has 30 divisors (see below), whose sum is σ = 28434171974. Its totient is φ = 3386700288.

The previous prime is 10160101001. The next prime is 10160101009. The reversal of 10160101008 is 80010106101.

10160101008 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 only one way, i.e., 7332839424 + 2827261584 = 85632^2 + 53172^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10160101001) 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 5 ways as a sum of consecutive naturals, for example, 35277985 + ... + 35278272.

Almost surely, 210160101008 is an apocalyptic number.

10160101008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10160101008 is an abundant number, since it is smaller than the sum of its proper divisors (18274070966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10160101008 is a wasteful number, since it uses less digits than its factorization.

10160101008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70556271 (or 70556262 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10160101008 its reverse (80010106101), we get a palindrome (90170207109).

The spelling of 10160101008 in words is "ten billion, one hundred sixty million, one hundred one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 70556257 141112514 211668771 282225028 423337542 564450056 635006313 846675084 1128900112 1270012626 1693350168 2540025252 3386700336 5080050504 10160101008