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101006610064 = 2431203642359
BaseRepresentation
bin101111000010001110…
…1101000111010010000
3100122201022202102122221
41132010131220322100
53123330143010224
6114222442110424
710204016006503
oct1360435507220
9318638672587
10101006610064
1139922664148
12176aaaab414
1396a92224b9
144c62a0d13a
1529627c46e4
hex1784768e90

101006610064 has 20 divisors (see below), whose sum is σ = 202013221120. Its totient is φ = 48874165920.

The previous prime is 101006609999. The next prime is 101006610071. The reversal of 101006610064 is 460016600101.

101006610064 is an admirable number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 101820684 + ... + 101821675.

It is an arithmetic number, because the mean of its divisors is an integer number (10100661056).

Almost surely, 2101006610064 is an apocalyptic number.

It is an amenable number.

101006610064 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101006610064 is a wasteful number, since it uses less digits than its factorization.

101006610064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203642398 (or 203642392 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 101006610064 in words is "one hundred one billion, six million, six hundred ten thousand, sixty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 203642359 407284718 814569436 1629138872 3258277744 6312913129 12625826258 25251652516 50503305032 101006610064