Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
1010001011001 = 32933170150033
BaseRepresentation
bin11101011001010001100…
…00000110000100111001
310120112222201002102102220
432230220300012010321
5113021440224323001
62051553230514253
7132653523641343
oct16545060060471
93515881072386
101010001011001
1135a380270544
121438b3365989
137432024b228
1436c54790293
151b414773c36
hexeb28c06139

1010001011001 has 32 divisors (see below), whose sum is σ = 1399334901120. Its totient is φ = 647213952000.

The previous prime is 1010001010987. The next prime is 1010001011027. The reversal of 1010001011001 is 1001101000101.

It is not a de Polignac number, because 1010001011001 - 26 = 1010001010937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010001010001) 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 31 ways as a sum of consecutive naturals, for example, 20161681 + ... + 20211713.

It is an arithmetic number, because the mean of its divisors is an integer number (43729215660).

Almost surely, 21010001011001 is an apocalyptic number.

It is an amenable number.

1010001011001 is a deficient number, since it is larger than the sum of its proper divisors (389333890119).

1010001011001 is a wasteful number, since it uses less digits than its factorization.

1010001011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51097.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1010001011001 its reverse (1001101000101), we get a palindrome (2011102011102).

It can be divided in two parts, 101000101 and 1001, that multiplied together give a palindrome (101101101101).

The spelling of 1010001011001 in words is "one trillion, ten billion, one million, eleven thousand, one".

Divisors: 1 3 29 87 331 701 993 2103 9599 20329 28797 50033 60987 150099 232031 696093 1450957 4352871 6728899 16560923 20186697 35073133 49682769 105219399 480266767 1017120857 1440800301 3051362571 11609207023 34827621069 336667003667 1010001011001