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1009990999001 = 73137166360727
BaseRepresentation
bin11101011001010000010…
…01111001101111011001
310120112222000020202120002
432230220021321233121
5113021430143432001
62051552232142345
7132653342562005
oct16545011715731
93515860222502
101009990999001
1135a375652366
121438abb379b5
137431b15407a
1436c53305705
151b41394746b
hexeb28279bd9

1009990999001 has 16 divisors (see below), whose sum is σ = 1031936815104. Its totient is φ = 988273384704.

The previous prime is 1009990998953. The next prime is 1009990999007.

1009990999001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1009990999001 - 230 = 1008917257177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009990999007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16601300 + ... + 16662026.

It is an arithmetic number, because the mean of its divisors is an integer number (64496050944).

Almost surely, 21009990999001 is an apocalyptic number.

It is an amenable number.

1009990999001 is a deficient number, since it is larger than the sum of its proper divisors (21945816103).

1009990999001 is a wasteful number, since it uses less digits than its factorization.

1009990999001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62600.

The product of its (nonzero) digits is 531441, while the sum is 56.

The spelling of 1009990999001 in words is "one trillion, nine billion, nine hundred ninety million, nine hundred ninety-nine thousand, one".

Divisors: 1 73 137 1663 10001 60727 121399 227831 4433071 8319599 16631663 100989001 607330727 7372197073 13835493137 1009990999001