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1001112111 = 32432586853
BaseRepresentation
bin111011101010111…
…100001000101111
32120202202202122100
4323222330020233
54022241041421
6243201150143
733544212126
oct7352741057
92522682570
101001112111
1147411338a
1223b32b353
1312c53943c
1496d5aabd
155cd50c26
hex3babc22f

1001112111 has 12 divisors (see below), whose sum is σ = 1479680488. Its totient is φ = 651886704.

The previous prime is 1001112107. The next prime is 1001112127. The reversal of 1001112111 is 1112111001.

It is not a de Polignac number, because 1001112111 - 22 = 1001112107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001112093 and 1001112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001112181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1293040 + ... + 1293813.

Almost surely, 21001112111 is an apocalyptic number.

1001112111 is a deficient number, since it is larger than the sum of its proper divisors (478568377).

1001112111 is a wasteful number, since it uses less digits than its factorization.

1001112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586902 (or 2586899 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 1001112111 is about 31640.3557344098. The cubic root of 1001112111 is about 1000.3705663303.

Adding to 1001112111 its reverse (1112111001), we get a palindrome (2113223112).

It can be divided in two parts, 10011 and 12111, that added together give a palindrome (22122).

The spelling of 1001112111 in words is "one billion, one million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 3 9 43 129 387 2586853 7760559 23281677 111234679 333704037 1001112111