Base | Representation |
---|---|
bin | 11101011001011110101… |
… | …00000101101111010101 |
3 | 10120120021101021001000100 |
4 | 32230233110011233111 |
5 | 113022201421010401 |
6 | 2052012202404313 |
7 | 132656331525102 |
oct | 16545724055725 |
9 | 3516241231010 |
10 | 1010111110101 |
11 | 35a42742a635 |
12 | 143924200699 |
13 | 74339cb9722 |
14 | 36c6524daa9 |
15 | 1b41e270b86 |
hex | eb2f505bd5 |
1010111110101 has 24 divisors (see below), whose sum is σ = 1498652471264. Its totient is φ = 655133171040.
The previous prime is 1010111110079. The next prime is 1010111110111.
1010111110101 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 1010111110101 - 26 = 1010111110037 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
1010111110101 is a strobogrammatic number because it is the same when read upside-down.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1010111110111) 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 23 ways as a sum of consecutive naturals, for example, 2860470 + ... + 3194136.
Almost surely, 21010111110101 is an apocalyptic number.
It is an amenable number.
1010111110101 is a deficient number, since it is larger than the sum of its proper divisors (488541361163).
1010111110101 is a wasteful number, since it uses less digits than its factorization.
1010111110101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 342801 (or 342798 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 9.
It can be divided in two parts, 1010 and 111110101, that added together give a palindrome (111111111).
The spelling of 1010111110101 in words is "one trillion, ten billion, one hundred eleven million, one hundred ten thousand, one hundred one".
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