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101404564345 = 572413896181
BaseRepresentation
bin101111001110000101…
…1101101101101111001
3100200202001120121022101
41132130023231231321
53130134032024340
6114330135423401
710216620401200
oct1363413555571
9320661517271
10101404564345
113a007262087
12177a0224b61
1397407c88c6
144c9d800237
1529876d1c9a
hex179c2edb79

101404564345 has 12 divisors (see below), whose sum is σ = 141552494244. Its totient is φ = 69534558240.

The previous prime is 101404564319. The next prime is 101404564421. The reversal of 101404564345 is 543465404101.

It can be written as a sum of positive squares in 2 ways, for example, as 26802928656 + 74601635689 = 163716^2 + 273133^2 .

It is not a de Polignac number, because 101404564345 - 221 = 101402467193 is a prime.

It is an unprimeable number.

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, 206947846 + ... + 206948335.

It is an arithmetic number, because the mean of its divisors is an integer number (11796041187).

Almost surely, 2101404564345 is an apocalyptic number.

It is an amenable number.

101404564345 is a deficient number, since it is larger than the sum of its proper divisors (40147929899).

101404564345 is an equidigital number, since it uses as much as digits as its factorization.

101404564345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413896200 (or 413896193 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 101404564345 its reverse (543465404101), we get a palindrome (644869968446).

The spelling of 101404564345 in words is "one hundred one billion, four hundred four million, five hundred sixty-four thousand, three hundred forty-five".

Divisors: 1 5 7 35 49 245 413896181 2069480905 2897273267 14486366335 20280912869 101404564345