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13114202211 = 3411193124989
BaseRepresentation
bin11000011011010101…
…01101100001100011
31020211221200111110000
430031222231201203
5203324213432321
610005150511043
7642660610455
oct141552554143
936757614400
1013114202211
11561a697250
12265bb05483
13130cc48986
148c59b62d5
1551b4ae826
hex30daad863

13114202211 has 80 divisors (see below), whose sum is σ = 23222707200. Its totient is φ = 7286500800.

The previous prime is 13114202177. The next prime is 13114202239. The reversal of 13114202211 is 11220241131.

13114202211 is a `hidden beast` number, since 1 + 31 + 1 + 420 + 2 + 211 = 666.

13114202211 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 13114202211 - 214 = 13114185827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13114302211) 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 79 ways as a sum of consecutive naturals, for example, 512305 + ... + 537293.

It is an arithmetic number, because the mean of its divisors is an integer number (290283840).

Almost surely, 213114202211 is an apocalyptic number.

13114202211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13114202211 is a deficient number, since it is larger than the sum of its proper divisors (10108504989).

13114202211 is a wasteful number, since it uses less digits than its factorization.

13114202211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25062 (or 25053 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13114202211 its reverse (11220241131), we get a palindrome (24334443342).

The spelling of 13114202211 in words is "thirteen billion, one hundred fourteen million, two hundred two thousand, two hundred eleven".

Divisors: 1 3 9 11 19 27 31 33 57 81 93 99 171 209 279 297 341 513 589 627 837 891 1023 1539 1767 1881 2511 3069 5301 5643 6479 9207 15903 16929 19437 24989 27621 47709 58311 74967 174933 224901 274879 474791 524799 674703 774659 824637 1424373 2024109 2323977 2473911 4273119 5222701 6971931 7421733 8521249 12819357 14718521 15668103 20915793 22265199 25563747 38458071 44155563 47004309 62747379 76691241 132466689 141012927 161903731 230073723 397400067 423038781 485711193 690221169 1192200201 1457133579 4371400737 13114202211