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102188301371 = 1337972190203
BaseRepresentation
bin101111100101011100…
…1011011110000111011
3100202202200022120101122
41133022321123300323
53133240201120441
6114540013535455
710245215141612
oct1371271336073
9322680276348
10102188301371
113a3796a5332
121797a7a458b
139836ca6320
144d35934879
1529d13e534b
hex17cae5bc3b

102188301371 has 16 divisors (see below), whose sum is σ = 114188475744. Its totient is φ = 90832057344.

The previous prime is 102188301359. The next prime is 102188301373. The reversal of 102188301371 is 173103881201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102188301371 - 214 = 102188284987 is a prime.

It is a super-3 number, since 3×1021883013713 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102188301373) 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 15 ways as a sum of consecutive naturals, for example, 1048445 + ... + 1141758.

It is an arithmetic number, because the mean of its divisors is an integer number (7136779734).

Almost surely, 2102188301371 is an apocalyptic number.

102188301371 is a deficient number, since it is larger than the sum of its proper divisors (12000174373).

102188301371 is a wasteful number, since it uses less digits than its factorization.

102188301371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190350.

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 102188301371 in words is "one hundred two billion, one hundred eighty-eight million, three hundred one thousand, three hundred seventy-one".

Divisors: 1 13 37 97 481 1261 3589 46657 2190203 28472639 81037511 212449691 1053487643 2761845983 7860638567 102188301371