Search a number
-
+
1010010111001 = 23149579150893
BaseRepresentation
bin11101011001010010100…
…10110011110000011001
310120120000100012202021221
432230221102303300121
5113022000042023001
62051554153532041
7132653664202063
oct16545122636031
93516010182257
101010010111001
1135a385416501
121438b6414021
13743220b6248
1436c55a7c733
151b4154701a1
hexeb294b3c19

1010010111001 has 16 divisors (see below), whose sum is σ = 1061200972800. Its totient is φ = 959428198080.

The previous prime is 1010010110903. The next prime is 1010010111017. The reversal of 1010010111001 is 1001110100101.

It is a happy number.

1010010111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1010010111001 - 217 = 1010009979929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010010111031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19820311 + ... + 19871203.

It is an arithmetic number, because the mean of its divisors is an integer number (66325060800).

Almost surely, 21010010111001 is an apocalyptic number.

It is an amenable number.

1010010111001 is a deficient number, since it is larger than the sum of its proper divisors (51190861799).

1010010111001 is a wasteful number, since it uses less digits than its factorization.

1010010111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56856.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1010010111001 its reverse (1001110100101), we get a palindrome (2011120211102).

The spelling of 1010010111001 in words is "one trillion, ten billion, ten million, one hundred eleven thousand, one".

Divisors: 1 23 149 3427 5791 50893 133193 862859 1170539 7583057 19845757 174410311 294721363 6778591349 43913483087 1010010111001