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1011012211111 = 72311815317171
BaseRepresentation
bin11101011011001010000…
…01100001000110100111
310120122121011211201012211
432231211001201012213
5113031023111223421
62052241432224251
7133020553000540
oct16554501410647
93518534751184
101011012211111
1135a84a044111
12143b35b3b087
13744518aa2a6
1436d0cbb54c7
151b4734189e1
hexeb650611a7

1011012211111 has 16 divisors (see below), whose sum is σ = 1206700282368. Its totient is φ = 828202399200.

The previous prime is 1011012211091. The next prime is 1011012211117. The reversal of 1011012211111 is 1111122101101.

It is a cyclic number.

It is not a de Polignac number, because 1011012211111 - 215 = 1011012178343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011012211091 and 1011012211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011012211117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2468445 + ... + 2848726.

It is an arithmetic number, because the mean of its divisors is an integer number (75418767648).

Almost surely, 21011012211111 is an apocalyptic number.

1011012211111 is a deficient number, since it is larger than the sum of its proper divisors (195688071257).

1011012211111 is a wasteful number, since it uses less digits than its factorization.

1011012211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318382.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1011012211111 its reverse (1111122101101), we get a palindrome (2122134312212).

The spelling of 1011012211111 in words is "one trillion, eleven billion, twelve million, two hundred eleven thousand, one hundred eleven".

Divisors: 1 7 23 161 1181 8267 27163 190141 5317171 37220197 122294933 856064531 6279578951 43957052657 144430315873 1011012211111