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102212444301 = 31161193263089
BaseRepresentation
bin101111100110001010…
…1100010000010001101
3100202211100202011021020
41133030111202002031
53133312341204201
6114542235224353
710245630304302
oct1371425420215
9322740664236
10102212444301
113a391295270
12179868a80b9
13983bcaa396
144d38c1b0a9
1529d35b3a36
hex17cc56208d

102212444301 has 32 divisors (see below), whose sum is σ = 151893432960. Its totient is φ = 60615475200.

The previous prime is 102212444263. The next prime is 102212444351. The reversal of 102212444301 is 103444212201.

It is not a de Polignac number, because 102212444301 - 29 = 102212443789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212444351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256965 + ... + 520053.

It is an arithmetic number, because the mean of its divisors is an integer number (4746669780).

Almost surely, 2102212444301 is an apocalyptic number.

102212444301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212444301 is a deficient number, since it is larger than the sum of its proper divisors (49680988659).

102212444301 is a wasteful number, since it uses less digits than its factorization.

102212444301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263357.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102212444301 its reverse (103444212201), we get a palindrome (205656656502).

The spelling of 102212444301 in words is "one hundred two billion, two hundred twelve million, four hundred forty-four thousand, three hundred one".

Divisors: 1 3 11 33 61 183 193 579 671 2013 2123 6369 11773 35319 129503 263089 388509 789267 2893979 8681937 16048429 48145287 50776177 152328531 176532719 529598157 558537947 1675613841 3097346797 9292040391 34070814767 102212444301