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11313030105 = 3351331207941
BaseRepresentation
bin10101000100100111…
…10010001111011001
31002012102110110211000
422202103302033121
5141132113430410
65110325255213
7550230112026
oct124223621731
932172413730
1011313030105
114885a01a63
122238864509
1310b3a38270
147946b654d
154632c3dc0
hex2a24f23d9

11313030105 has 64 divisors (see below), whose sum is σ = 22357923840. Its totient is φ = 5389804800.

The previous prime is 11313030073. The next prime is 11313030119. The reversal of 11313030105 is 50103031311.

11313030105 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 11313030105 - 25 = 11313030073 is a prime.

It is a super-2 number, since 2×113130301052 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 49566 + ... + 158375.

It is an arithmetic number, because the mean of its divisors is an integer number (349342560).

Almost surely, 211313030105 is an apocalyptic number.

11313030105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11313030105 is a deficient number, since it is larger than the sum of its proper divisors (11044893735).

11313030105 is a wasteful number, since it uses less digits than its factorization.

11313030105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207999 (or 207993 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 11313030105 its reverse (50103031311), we get a palindrome (61416061416).

The spelling of 11313030105 in words is "eleven billion, three hundred thirteen million, thirty thousand, one hundred five".

Divisors: 1 3 5 9 13 15 27 31 39 45 65 93 117 135 155 195 279 351 403 465 585 837 1209 1395 1755 2015 3627 4185 6045 10881 18135 54405 207941 623823 1039705 1871469 2703233 3119115 5614407 6446171 8109699 9357345 13516165 19338513 24329097 28072035 32230855 40548495 58015539 72987291 83800223 96692565 121645485 174046617 251400669 290077695 364936455 419001115 754202007 870233085 1257003345 2262606021 3771010035 11313030105