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10002000111 = 34771999101
BaseRepresentation
bin10010101000010101…
…00110100011101111
3221211001112020202120
421110022212203233
5130441003000421
64332253324023
7502600412115
oct112412464357
927731466676
1010002000111
1142729607a4
121b31796613
13c3523a97c
146ac523ab5
153d81558c6
hex2542a68ef

10002000111 has 16 divisors (see below), whose sum is σ = 13811586048. Its totient is φ = 6434204000.

The previous prime is 10002000109. The next prime is 10002000119. The reversal of 10002000111 is 11100020001.

10002000111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10002000111 - 21 = 10002000109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002000119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 489540 + ... + 509561.

It is an arithmetic number, because the mean of its divisors is an integer number (863224128).

Almost surely, 210002000111 is an apocalyptic number.

10002000111 is a deficient number, since it is larger than the sum of its proper divisors (3809585937).

10002000111 is an equidigital number, since it uses as much as digits as its factorization.

10002000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999222.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10002000111 its reverse (11100020001), we get a palindrome (21102020112).

It can be divided in two parts, 100020001 and 11, that multiplied together give a palindrome (1100220011).

The spelling of 10002000111 in words is "ten billion, two million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 47 71 141 213 3337 10011 999101 2997303 46957747 70936171 140873241 212808513 3334000037 10002000111