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1542415304101 = 7250096284261
BaseRepresentation
bin10110011100011111000…
…111011100010110100101
312110110020120111211120111
4112130133013130112211
5200232331304212401
63140324212533021
7216302326523200
oct26343707342645
95413216454514
101542415304101
11545153257121
1220ab1b921171
13b25ab9b2699
145492091c937
152a1c5e2be51
hex1671f1dc5a5

1542415304101 has 12 divisors (see below), whose sum is σ = 1794596699340. Its totient is φ = 1321806111360.

The previous prime is 1542415304083. The next prime is 1542415304117. The reversal of 1542415304101 is 1014035142451.

It can be written as a sum of positive squares in 2 ways, for example, as 1271233700100 + 271181604001 = 1127490^2 + 520751^2 .

It is not a de Polignac number, because 1542415304101 - 27 = 1542415303973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1542415304401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2896690 + ... + 3387571.

It is an arithmetic number, because the mean of its divisors is an integer number (149549724945).

Almost surely, 21542415304101 is an apocalyptic number.

It is an amenable number.

1542415304101 is a deficient number, since it is larger than the sum of its proper divisors (252181395239).

1542415304101 is an equidigital number, since it uses as much as digits as its factorization.

1542415304101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6289284 (or 6289277 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 1542415304101 in words is "one trillion, five hundred forty-two billion, four hundred fifteen million, three hundred four thousand, one hundred one".

Divisors: 1 7 49 5009 35063 245441 6284261 43989827 307928789 31477863349 220345043443 1542415304101