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1010111111001 = 32611839910949
BaseRepresentation
bin11101011001011110101…
…00000101111101011001
310120120021101021002020200
432230233110011331121
5113022201421023001
62052012202412413
7132656331530526
oct16545724057531
93516241232220
101010111111001
1135a427430283
12143924201109
1374339cb9c65
1436c6525014d
151b41e271086
hexeb2f505f59

1010111111001 has 12 divisors (see below), whose sum is σ = 1482968225700. Its totient is φ = 662367941280.

The previous prime is 1010111110979. The next prime is 1010111111021. The reversal of 1010111111001 is 1001111110101.

It can be written as a sum of positive squares in 2 ways, for example, as 559264665600 + 450846445401 = 747840^2 + 671451^2 .

It is not a de Polignac number, because 1010111111001 - 215 = 1010111078233 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1010111111021) 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 11 ways as a sum of consecutive naturals, for example, 919954926 + ... + 919956023.

It is an arithmetic number, because the mean of its divisors is an integer number (123580685475).

Almost surely, 21010111111001 is an apocalyptic number.

It is an amenable number.

1010111111001 is a deficient number, since it is larger than the sum of its proper divisors (472857114699).

1010111111001 is a wasteful number, since it uses less digits than its factorization.

1010111111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839911016 (or 1839911013 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1010111111001 its reverse (1001111110101), we get a palindrome (2011222221102).

The spelling of 1010111111001 in words is "one trillion, ten billion, one hundred eleven million, one hundred eleven thousand, one".

Divisors: 1 3 9 61 183 549 1839910949 5519732847 16559198541 112234567889 336703703667 1010111111001