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102851448271 = 111310124232939
BaseRepresentation
bin101111111001001101…
…1001000110111001111
3100211110220010220220221
41133302123020313033
53141114432321041
6115125503252211
710300516612525
oct1376233106717
9324426126827
10102851448271
113a689a63420
1217b248aa067
1399114b1340
144d99a38315
152a1e7382d1
hex17f26c8dcf

102851448271 has 32 divisors (see below), whose sum is σ = 122120732160. Its totient is φ = 85390032000.

The previous prime is 102851448253. The next prime is 102851448283. The reversal of 102851448271 is 172844158201.

It is not a de Polignac number, because 102851448271 - 27 = 102851448143 is a prime.

It is a super-2 number, since 2×1028514482712 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102851448241) 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 31 ways as a sum of consecutive naturals, for example, 34993920 + ... + 34996858.

It is an arithmetic number, because the mean of its divisors is an integer number (3816272880).

Almost surely, 2102851448271 is an apocalyptic number.

102851448271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102851448271 is a deficient number, since it is larger than the sum of its proper divisors (19269283889).

102851448271 is a wasteful number, since it uses less digits than its factorization.

102851448271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487.

The product of its (nonzero) digits is 143360, while the sum is 43.

The spelling of 102851448271 in words is "one hundred two billion, eight hundred fifty-one million, four hundred forty-eight thousand, two hundred seventy-one".

Divisors: 1 11 13 101 143 1111 1313 2423 2939 14443 26653 31499 32329 38207 244723 296839 346489 420277 2691953 3181399 3265229 3858907 7121197 34995389 42447977 78333167 92575561 719240897 1018331171 7911649867 9350131661 102851448271