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1010112111111 = 373101137333337
BaseRepresentation
bin11101011001011110101…
…11111010001000000111
310120120021110010220010210
432230233113322020013
5113022202200023421
62052012240050503
7132656343164355
oct16545727721007
93516243126123
101010112111111
1135a427a53714
12143924603a33
137433a27a23c
1436c654307d5
151b41e3bc576
hexeb2f5fa207

1010112111111 has 32 divisors (see below), whose sum is σ = 1388851443648. Its totient is φ = 652805222400.

The previous prime is 1010112111077. The next prime is 1010112111131. The reversal of 1010112111111 is 1111112110101.

It is not a de Polignac number, because 1010112111111 - 211 = 1010112109063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010112111131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2863635 + ... + 3196971.

It is an arithmetic number, because the mean of its divisors is an integer number (43401607614).

Almost surely, 21010112111111 is an apocalyptic number.

1010112111111 is a deficient number, since it is larger than the sum of its proper divisors (378739332537).

1010112111111 is a wasteful number, since it uses less digits than its factorization.

1010112111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333651.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 1010112111111 its reverse (1111112110101), we get a palindrome (2121224221212).

It can be divided in two parts, 101011 and 2111111, that added together give a palindrome (2212122).

The spelling of 1010112111111 in words is "one trillion, ten billion, one hundred twelve million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 3 73 101 137 219 303 411 7373 10001 13837 22119 30003 41511 333337 1000011 1010101 3030303 24333601 33667037 45667169 73000803 101001111 137001507 2457693701 3333703337 4612384069 7373081103 10001110011 13837152207 336704037037 1010112111111