Search a number
-
+
11010110200011 = 32134119139730269
BaseRepresentation
bin1010000000110111110110…
…1101010001100011001011
31102222120000111210001102200
42200031331231101203023
52420342201202400021
635225550320131243
72214311536362156
oct240157555214313
942876014701380
1011010110200011
1135653a81a190a
1212999bb766b23
1361b330bb6920
142a0c6c1c2c9d
151415e9084126
hexa037db518cb

11010110200011 has 96 divisors (see below), whose sum is σ = 17681430574080. Its totient is φ = 6558809241600.

The previous prime is 11010110200007. The next prime is 11010110200013. The reversal of 11010110200011 is 11000201101011.

11010110200011 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 11010110200011 - 22 = 11010110200007 is a prime.

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 = 11010110199966 and 11010110200002.

It is not an unprimeable number, because it can be changed into a prime (11010110200013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363726985 + ... + 363757253.

It is an arithmetic number, because the mean of its divisors is an integer number (184181568480).

Almost surely, 211010110200011 is an apocalyptic number.

11010110200011 is a deficient number, since it is larger than the sum of its proper divisors (6671320374069).

11010110200011 is a wasteful number, since it uses less digits than its factorization.

11010110200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30917 (or 30914 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11010110200011 its reverse (11000201101011), we get a palindrome (22010311301022).

The spelling of 11010110200011 in words is "eleven trillion, ten billion, one hundred ten million, two hundred thousand, eleven".

Divisors: 1 3 9 13 39 41 117 123 191 369 397 533 573 1191 1599 1719 2483 3573 4797 5161 7449 7831 15483 16277 22347 23493 30269 46449 48831 70479 75827 90807 101803 146493 211601 227481 272421 305409 393497 634803 682443 916227 985751 1180491 1241029 1904409 2957253 3108907 3541473 3723087 5781379 8871759 9326721 11169261 12016793 16133377 17344137 27980163 36050379 40415791 48400131 52032411 75157927 108151137 121247373 145200393 156218309 225473781 237036539 363742119 468654927 492688513 676421343 711109617 1405964781 1478065539 2133328851 2295207463 3081475007 4434196617 6404950669 6885622389 9244425021 19214852007 20656867167 27733275063 29837697019 57644556021 89513091057 94103505983 268539273171 282310517949 846931553847 1223345577779 3670036733337 11010110200011