Search a number
-
+
201010011000001 = 724102245122449
BaseRepresentation
bin101101101101000101001010…
…010011010100110011000001
3222100201100222021111222100021
4231231011022103110303001
5202321322000304000001
61551302420234253441
760224331313211500
oct5555051223246301
9870640867458307
10201010011000001
1159058959986765
121a665105b87281
1388212165c6958
14378cd17854837
151838ae9637ba1
hexb6d14a4d4cc1

201010011000001 has 6 divisors (see below), whose sum is σ = 233827971979650. Its totient is φ = 172294295142816.

The previous prime is 201010010999999. The next prime is 201010011000067. The reversal of 201010011000001 is 100000110010102.

It can be written as a sum of positive squares in only one way, i.e., 190940025791025 + 10069985208976 = 13818105^2 + 3173324^2 .

It is not a de Polignac number, because 201010011000001 - 21 = 201010010999999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201010011040001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2051122561176 + ... + 2051122561273.

It is an arithmetic number, because the mean of its divisors is an integer number (38971328663275).

Almost surely, 2201010011000001 is an apocalyptic number.

It is an amenable number.

201010011000001 is a deficient number, since it is larger than the sum of its proper divisors (32817960979649).

201010011000001 is an equidigital number, since it uses as much as digits as its factorization.

201010011000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102245122463 (or 4102245122456 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 201010011000001 its reverse (100000110010102), we get a palindrome (301010121010103).

The spelling of 201010011000001 in words is "two hundred one trillion, ten billion, eleven million, one", and thus it is an aban number.

Divisors: 1 7 49 4102245122449 28715715857143 201010011000001