Search a number
-
+
101010111110010 = 23251816200743469
BaseRepresentation
bin10110111101111000111111…
…110010101001101101111010
3111020122110202022120120011200
4112331320333302221231322
5101214422201421010020
6554455223205235030
730163511501000154
oct2675707762515572
9436573668516150
10101010111110010
112a204169436733
12b3b4529a02a76
13444929c1325cb
141ad2cb6061ad4
15ba2788a40590
hex5bde3fca9b7a

101010111110010 has 48 divisors (see below), whose sum is σ = 264077262900360. Its totient is φ = 26787211781760.

The previous prime is 101010111109967. The next prime is 101010111110017. The reversal of 101010111110010 is 10011111010101.

101010111110010 is digitally balanced in base 3, 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 56867601005721 + 44142510104289 = 7541061^2 + 6643983^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101010111109974 and 101010111110001.

It is not an unprimeable number, because it can be changed into a prime (101010111110017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3100355445 + ... + 3100388024.

Almost surely, 2101010111110010 is an apocalyptic number.

101010111110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101010111110010 is an abundant number, since it is smaller than the sum of its proper divisors (163067151790350).

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

101010111110010 is a wasteful number, since it uses less digits than its factorization.

101010111110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6200743663 (or 6200743660 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101010111110010 its reverse (10011111010101), we get a palindrome (111021222120111).

Subtracting from 101010111110010 its reverse (10011111010101), we obtain a palindrome (90999000099909).

The spelling of 101010111110010 in words is "one hundred one trillion, ten billion, one hundred eleven million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 3258 5430 8145 16290 6200743469 12401486938 18602230407 31003717345 37204460814 55806691221 62007434690 93011152035 111613382442 186022304070 279033456105 558066912210 1122334567889 2244669135778 3367003703667 5611672839445 6734007407334 10101011111001 11223345678890 16835018518335 20202022222002 33670037036670 50505055555005 101010111110010