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102819341141 = 1125507154303
BaseRepresentation
bin101111111000010000…
…0101010001101010101
3100211101122201201012222
41133300200222031111
53141033222404031
6115122355152125
710266646656656
oct1376040521525
9324348651188
10102819341141
113a672923900
1217b15ba5645
13990794c23a
144d9567b52d
152a1b9e4e7b
hex17f082a355

102819341141 has 12 divisors (see below), whose sum is σ = 113037555456. Its totient is φ = 93454549320.

The previous prime is 102819341117. The next prime is 102819341153. The reversal of 102819341141 is 141143918201.

It is not a de Polignac number, because 102819341141 - 214 = 102819324757 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102819341101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589196 + ... + 743498.

It is an arithmetic number, because the mean of its divisors is an integer number (9419796288).

Almost surely, 2102819341141 is an apocalyptic number.

102819341141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102819341141 is a deficient number, since it is larger than the sum of its proper divisors (10218214315).

102819341141 is a wasteful number, since it uses less digits than its factorization.

102819341141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159832 (or 159821 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The spelling of 102819341141 in words is "one hundred two billion, eight hundred nineteen million, three hundred forty-one thousand, one hundred forty-one".

Divisors: 1 11 121 5507 60577 154303 666347 1697333 18670663 849746621 9347212831 102819341141