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102200012191 = 1773281293071
BaseRepresentation
bin101111100101110011…
…0000110110110011111
3100202210111100112121201
41133023212012312133
53133301200342231
6114541112540331
710245416525134
oct1371346066637
9322714315551
10102200012191
113a3852738a2
12179826b16a7
1398395467c4
144d3730258b
1529d245a161
hex17cb986d9f

102200012191 has 16 divisors (see below), whose sum is σ = 110084876928. Its totient is φ = 94532659200.

The previous prime is 102200012177. The next prime is 102200012249. The reversal of 102200012191 is 191210002201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102200012191 - 233 = 93610077599 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200012141) 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, 202186 + ... + 495256.

It is an arithmetic number, because the mean of its divisors is an integer number (6880304808).

Almost surely, 2102200012191 is an apocalyptic number.

102200012191 is a deficient number, since it is larger than the sum of its proper divisors (7884864737).

102200012191 is a wasteful number, since it uses less digits than its factorization.

102200012191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293442.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 102200012191 its reverse (191210002201), we get a palindrome (293410014392).

The spelling of 102200012191 in words is "one hundred two billion, two hundred million, twelve thousand, one hundred ninety-one".

Divisors: 1 17 73 281 1241 4777 20513 293071 348721 4982207 21394183 82352951 363701111 1400000167 6011765423 102200012191