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1000506101106 = 23577288996563
BaseRepresentation
bin11101000111100101100…
…11111000110101110010
310112122110222202000200110
432203302303320311302
5112343014030213411
62043343130002150
7132166321353321
oct16436263706562
93478428660613
101000506101106
1135634867a176
12141aa3576356
13734690a8955
14365d374a0b8
151b05add72a6
hexe8f2cf8d72

1000506101106 has 16 divisors (see below), whose sum is σ = 2004480167904. Its totient is φ = 332924039424.

The previous prime is 1000506101099. The next prime is 1000506101113. The reversal of 1000506101106 is 6011016050001.

It is an interprime number because it is at equal distance from previous prime (1000506101099) and next prime (1000506101113).

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 7 ways as a sum of consecutive naturals, for example, 144494820 + ... + 144501743.

It is an arithmetic number, because the mean of its divisors is an integer number (125280010494).

Almost surely, 21000506101106 is an apocalyptic number.

1000506101106 is an abundant number, since it is smaller than the sum of its proper divisors (1003974066798).

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

1000506101106 is a wasteful number, since it uses less digits than its factorization.

1000506101106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288997145.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 1000506101106 in words is "one trillion, five hundred six million, one hundred one thousand, one hundred six".

Divisors: 1 2 3 6 577 1154 1731 3462 288996563 577993126 866989689 1733979378 166751016851 333502033702 500253050553 1000506101106