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102200651201 = 1128310219967
BaseRepresentation
bin101111100101110100…
…0100010110111000001
3100202210112120000011202
41133023220202313001
53133301331314301
6114541134350545
710245425126135
oct1371350426701
9322715500152
10102200651201
113a38566aa00
121798295b455
13983970b60c
144d3742b3c5
1529d253466b
hex17cba22dc1

102200651201 has 24 divisors (see below), whose sum is σ = 113812470912. Its totient is φ = 91691186400.

The previous prime is 102200651183. The next prime is 102200651207. The reversal of 102200651201 is 102156002201.

It is a de Polignac number, because none of the positive numbers 2k-102200651201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102200651207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10248920 + ... + 10258886.

It is an arithmetic number, because the mean of its divisors is an integer number (4742186288).

Almost surely, 2102200651201 is an apocalyptic number.

102200651201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102200651201 is a deficient number, since it is larger than the sum of its proper divisors (11611819711).

102200651201 is a wasteful number, since it uses less digits than its factorization.

102200651201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11093 (or 11082 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 102200651201 its reverse (102156002201), we get a palindrome (204356653402).

The spelling of 102200651201 in words is "one hundred two billion, two hundred million, six hundred fifty-one thousand, two hundred one".

Divisors: 1 11 83 121 913 1021 9967 10043 11231 84743 109637 123541 827261 932173 1206007 9099871 10176307 10253903 100098581 111939377 844633481 1231333147 9290968291 102200651201