Search a number
-
+
11101010210001 = 3237317105162041
BaseRepresentation
bin1010000110001010011111…
…0001010010110011010001
31110022020122111012000011100
42201202213301102303101
52423334332103210001
635335422250535013
72224010244615435
oct241424761226321
943266574160140
1011101010210001
11359aa03951808
1212b3549a37469
13626a89306c9a
142a54128409c5
15143b69440586
hexa18a7c52cd1

11101010210001 has 24 divisors (see below), whose sum is σ = 16520115501864. Its totient is φ = 7177940202240.

The previous prime is 11101010209999. The next prime is 11101010210029. The reversal of 11101010210001 is 10001201010111.

It can be written as a sum of positive squares in 4 ways, for example, as 2034431532225 + 9066578677776 = 1426335^2 + 3011076^2 .

It is not a de Polignac number, because 11101010210001 - 21 = 11101010209999 is a prime.

It is a super-2 number, since 2×111010102100012 (a number of 27 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11101010210501) 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, 52475460 + ... + 52686581.

It is an arithmetic number, because the mean of its divisors is an integer number (688338145911).

Almost surely, 211101010210001 is an apocalyptic number.

It is an amenable number.

11101010210001 is a deficient number, since it is larger than the sum of its proper divisors (5419105291863).

11101010210001 is a wasteful number, since it uses less digits than its factorization.

11101010210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105162401 (or 105162398 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11101010210001 its reverse (10001201010111), we get a palindrome (21102211220112).

The spelling of 11101010210001 in words is "eleven trillion, one hundred one billion, ten million, two hundred ten thousand, one".

Divisors: 1 3 9 37 111 317 333 951 2853 11729 35187 105561 105162041 315486123 946458369 3890995517 11672986551 33336366997 35018959653 100009100991 300027302973 1233445578889 3700336736667 11101010210001