Search a number
-
+
10110101001 = 37111319374789
BaseRepresentation
bin10010110101001101…
…11110011000001001
3222002120221100022020
421122212332120021
5131201141213001
64351114315053
7505352304060
oct113246763011
928076840266
1010110101001
114318985580
121b61a28a89
13c517597b0
146bca231d7
153e28aa736
hex25a9be609

10110101001 has 128 divisors (see below), whose sum is σ = 19570790400. Its totient is φ = 4467778560.

The previous prime is 10110100939. The next prime is 10110101033. The reversal of 10110101001 is 10010101101.

10110101001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10110101001 - 213 = 10110092809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10110101801) 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 127 ways as a sum of consecutive naturals, for example, 2108715 + ... + 2113503.

It is an arithmetic number, because the mean of its divisors is an integer number (152896800).

Almost surely, 210110101001 is an apocalyptic number.

10110101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110101001 is a deficient number, since it is larger than the sum of its proper divisors (9460689399).

10110101001 is a wasteful number, since it uses less digits than its factorization.

10110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4879.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10110101001 its reverse (10010101101), we get a palindrome (20120202102).

It can be divided in two parts, 10110 and 101001, that added together give a palindrome (111111).

The spelling of 10110101001 in words is "ten billion, one hundred ten million, one hundred one thousand, one".

Divisors: 1 3 7 11 13 19 21 33 37 39 57 77 91 111 133 143 209 231 247 259 273 399 407 429 481 627 703 741 777 1001 1221 1443 1463 1729 2109 2717 2849 3003 3367 4389 4789 4921 5187 5291 7733 8151 8547 9139 10101 14367 14763 15873 19019 23199 27417 33523 37037 52679 54131 57057 62257 63973 90991 100529 100569 111111 158037 162393 177193 186771 191919 272973 301587 368753 435799 531579 636937 684827 703703 1000901 1106259 1182883 1240351 1307397 1910811 1949123 2054481 2111109 2303509 3002703 3366667 3548649 3721053 4793789 5847369 6910527 7006307 8280181 10100001 13011713 13643861 14381367 16124563 21018921 23566669 24840543 25338599 37033337 39035139 40931583 43766671 48373689 70700007 76015797 91081991 111100011 131300013 177370193 259233359 273245973 306366697 481433381 532110579 777700077 919100091 1444300143 3370033667 10110101001