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1012163117101 = 10145989217909
BaseRepresentation
bin11101011101010011001…
…11111000000000101101
310120202120101110210102121
432232221213320000231
5113040402224221401
62052551544152541
7133061226353563
oct16565147700055
93522511423377
101012163117101
1136028a768894
121441b7468751
13745a6172856
1436dbb9a5a33
151b4de4a7ca1
hexeba99f802d

1012163117101 has 8 divisors (see below), whose sum is σ = 1022211451800. Its totient is φ = 1002115310400.

The previous prime is 1012163117093. The next prime is 1012163117107. The reversal of 1012163117101 is 1017113612101.

It can be written as a sum of positive squares in 4 ways, for example, as 8299392201 + 1003863724900 = 91101^2 + 1001930^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1012163117101 - 23 = 1012163117093 is a prime.

It is a super-2 number, since 2×10121631171012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012163117107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4535935 + ... + 4753843.

It is an arithmetic number, because the mean of its divisors is an integer number (127776431475).

Almost surely, 21012163117101 is an apocalyptic number.

It is an amenable number.

1012163117101 is a deficient number, since it is larger than the sum of its proper divisors (10048334699).

1012163117101 is a wasteful number, since it uses less digits than its factorization.

1012163117101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263999.

The product of its (nonzero) digits is 252, while the sum is 25.

Adding to 1012163117101 its reverse (1017113612101), we get a palindrome (2029276729202).

The spelling of 1012163117101 in words is "one trillion, twelve billion, one hundred sixty-three million, one hundred seventeen thousand, one hundred one".

Divisors: 1 101 45989 217909 4644889 22008809 10021417001 1012163117101