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102303212011 = 71121326335327
BaseRepresentation
bin101111101000110111…
…1110010000111101011
3100210001200112122011021
41133101233302013223
53134004110241021
6114555240513311
710251111645220
oct1372157620753
9323050478137
10102303212011
113a428550400
12179b117b837
139854a3a8a0
144d46cc7947
1529db542c41
hex17d1bf21eb

102303212011 has 48 divisors (see below), whose sum is σ = 138928914432. Its totient is φ = 73302863040.

The previous prime is 102303211981. The next prime is 102303212029. The reversal of 102303212011 is 110212303201.

It is not a de Polignac number, because 102303212011 - 25 = 102303211979 is a prime.

It is a super-2 number, since 2×1023032120112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102303212041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2878230 + ... + 2913556.

It is an arithmetic number, because the mean of its divisors is an integer number (2894352384).

Almost surely, 2102303212011 is an apocalyptic number.

102303212011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102303212011 is a deficient number, since it is larger than the sum of its proper divisors (36625702421).

102303212011 is a wasteful number, since it uses less digits than its factorization.

102303212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35632 (or 35621 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102303212011 its reverse (110212303201), we get a palindrome (212515515212).

The spelling of 102303212011 in words is "one hundred two billion, three hundred three million, two hundred twelve thousand, eleven".

Divisors: 1 7 11 13 77 91 121 143 263 847 1001 1573 1841 2893 3419 11011 20251 23933 31823 35327 37609 222761 247289 263263 388597 413699 459251 2720179 2895893 3214757 4274567 5051761 9291001 29921969 35362327 55569371 65037007 102201011 120783013 388985597 715407077 845481091 1124211121 1328613143 7869477847 9300292001 14614744573 102303212011