Search a number
-
+
1001001022011 = 321371609504563
BaseRepresentation
bin11101001000100000100…
…11110111001000111011
310112200202111000121112100
432210100103313020323
5112400022230201021
62043504205514443
7132214511204364
oct16442023671073
93480674017470
101001001022011
11356581a87611
12142001272a23
13735177a2c63
143663d37cb6b
151b08959a626
hexe9104f723b

1001001022011 has 24 divisors (see below), whose sum is σ = 1457352383760. Its totient is φ = 662049927936.

The previous prime is 1001001021973. The next prime is 1001001022013. The reversal of 1001001022011 is 1102201001001.

It is a happy number.

1001001022011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001001022011 - 225 = 1000967467579 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001001021984 and 1001001022002.

It is not an unprimeable number, because it can be changed into a prime (1001001022013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1731616 + ... + 2236178.

It is an arithmetic number, because the mean of its divisors is an integer number (60723015990).

Almost surely, 21001001022011 is an apocalyptic number.

1001001022011 is a deficient number, since it is larger than the sum of its proper divisors (456351361749).

1001001022011 is a wasteful number, since it uses less digits than its factorization.

1001001022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506315 (or 506312 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001001022011 its reverse (1102201001001), we get a palindrome (2103202023012).

The spelling of 1001001022011 in words is "one trillion, one billion, one million, twenty-two thousand, eleven".

Divisors: 1 3 9 137 411 1233 1609 4827 14481 220433 504563 661299 1513689 1983897 4541067 69125131 207375393 622126179 811841867 2435525601 7306576803 111222335779 333667007337 1001001022011