Search a number
-
+
11000120313 = 3713371377949
BaseRepresentation
bin10100011111010100…
…01000001111111001
31001101121200000021110
422033222020033321
5140012012322223
65015310430533
7536410323420
oct121752101771
931347600243
1011000120313
114735310226
12216bb02449
131063c6a340
14764d022b7
15445ab4d93
hex28fa883f9

11000120313 has 64 divisors (see below), whose sum is σ = 18677030400. Its totient is φ = 5603530752.

The previous prime is 11000120309. The next prime is 11000120333. The reversal of 11000120313 is 31302100011.

It is not a de Polignac number, because 11000120313 - 22 = 11000120309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11000120333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1379863 + ... + 1387811.

It is an arithmetic number, because the mean of its divisors is an integer number (291828600).

Almost surely, 211000120313 is an apocalyptic number.

11000120313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11000120313 is a deficient number, since it is larger than the sum of its proper divisors (7676910087).

11000120313 is a wasteful number, since it uses less digits than its factorization.

11000120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8146.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11000120313 its reverse (31302100011), we get a palindrome (42302220324).

The spelling of 11000120313 in words is "eleven billion, one hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 7 13 21 37 39 91 111 137 259 273 411 481 777 959 1443 1781 2877 3367 5069 5343 7949 10101 12467 15207 23847 35483 37401 55643 65897 103337 106449 166929 197691 294113 310011 461279 723359 882339 1089013 1383837 2058791 2170077 3267039 3823469 6176373 7623091 11470407 14157169 22869273 26764283 40293481 42471507 80292849 99100183 120880443 282054367 297300549 523815253 846163101 1571445759 3666706771 11000120313