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102551641409 = 721925797481
BaseRepresentation
bin101111110000010001…
…1011101110101000001
3100210201000000011020002
41133200203131311001
53140011210011114
6115040033325345
710260216366200
oct1374043356501
9323630004202
10102551641409
113a545801058
1217a60406855
139894350429
144d6bcb5237
152a032667de
hex17e08ddd41

102551641409 has 18 divisors (see below), whose sum is σ = 125903916594. Its totient is φ = 83275002720.

The previous prime is 102551641307. The next prime is 102551641433. The reversal of 102551641409 is 904146155201.

It can be written as a sum of positive squares in only one way, i.e., 102313618225 + 238023184 = 319865^2 + 15428^2 .

It is a de Polignac number, because none of the positive numbers 2k-102551641409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102551641459) 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 17 ways as a sum of consecutive naturals, for example, 2881052 + ... + 2916429.

It is an arithmetic number, because the mean of its divisors is an integer number (6994662033).

Almost surely, 2102551641409 is an apocalyptic number.

102551641409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

102551641409 is a deficient number, since it is larger than the sum of its proper divisors (23352275185).

102551641409 is an equidigital number, since it uses as much as digits as its factorization.

102551641409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797533 (or 5797507 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 102551641409 in words is "one hundred two billion, five hundred fifty-one million, six hundred forty-one thousand, four hundred nine".

Divisors: 1 7 19 49 133 361 931 2527 17689 5797481 40582367 110152139 284076569 771064973 2092890641 5397454811 14650234487 102551641409