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102144132243 = 333783116009
BaseRepresentation
bin101111100100001000…
…0111100010010010011
3100202122121012112202000
41133020100330102103
53133142344212433
6114531355125043
710244140540626
oct1371020742223
9322577175660
10102144132243
113a35677741a
1217967a43783
13982aaacc4a
144d2db17dbd
1529cc5bd113
hex17c843c493

102144132243 has 8 divisors (see below), whose sum is σ = 151324640400. Its totient is φ = 68096088144.

The previous prime is 102144132241. The next prime is 102144132247. The reversal of 102144132243 is 342231441201.

102144132243 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 413 + 2 + 243 = 666.

It is not a de Polignac number, because 102144132243 - 21 = 102144132241 is a prime.

It is a super-2 number, since 2×1021441322432 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3783116009 = 102144132243 / (1 + 0 + 2 + 1 + 4 + 4 + 1 + 3 + 2 + 2 + 4 + 3).

It is not an unprimeable number, because it can be changed into a prime (102144132241) 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 7 ways as a sum of consecutive naturals, for example, 1891557978 + ... + 1891558031.

It is an arithmetic number, because the mean of its divisors is an integer number (18915580050).

Almost surely, 2102144132243 is an apocalyptic number.

102144132243 is a deficient number, since it is larger than the sum of its proper divisors (49180508157).

102144132243 is an equidigital number, since it uses as much as digits as its factorization.

102144132243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783116018 (or 3783116012 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102144132243 its reverse (342231441201), we get a palindrome (444375573444).

The spelling of 102144132243 in words is "one hundred two billion, one hundred forty-four million, one hundred thirty-two thousand, two hundred forty-three".

Divisors: 1 3 9 27 3783116009 11349348027 34048044081 102144132243