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1010310130101 = 31756893482159
BaseRepresentation
bin11101011001110110010…
…11010010100110110101
310120120210020202022010110
432230323023102212311
5113023103343130401
62052044032213233
7132664266261246
oct16547313224665
93516706668113
101010310130101
1135a519803278
1214397a99a219
137436c2bc93c
1436c83858ccd
151b4319849d6
hexeb3b2d29b5

1010310130101 has 16 divisors (see below), whose sum is σ = 1426571308800. Its totient is φ = 633808470528.

The previous prime is 1010310130007. The next prime is 1010310130111.

1010310130101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1010310130101 - 211 = 1010310128053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010310130111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1450941 + ... + 2031218.

It is an arithmetic number, because the mean of its divisors is an integer number (89160706800).

Almost surely, 21010310130101 is an apocalyptic number.

It is an amenable number.

1010310130101 is a deficient number, since it is larger than the sum of its proper divisors (416261178699).

1010310130101 is a wasteful number, since it uses less digits than its factorization.

1010310130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487868.

The product of its (nonzero) digits is 9, while the sum is 12.

It can be divided in two parts, 1010310 and 130101, that added together give a palindrome (1140411).

The spelling of 1010310130101 in words is "one trillion, ten billion, three hundred ten million, one hundred thirty thousand, one hundred one".

Divisors: 1 3 17 51 5689 17067 96713 290139 3482159 10446477 59196703 177590109 19810002551 59430007653 336770043367 1010310130101