Search a number
-
+
11012002100021 = 1317389128092709
BaseRepresentation
bin1010000000111110111001…
…1110010011001100110101
31102222201220100201112100102
42200033232132103030311
52420410040014200041
635230502142123445
72214406451304506
oct240175636231465
942881810645312
1011012002100021
11356618911533a
12129a249280585
1361b572b426a0
142a0dab57cbad
151416aa1e209b
hexa03ee793335

11012002100021 has 16 divisors (see below), whose sum is σ = 12588951538800. Its totient is φ = 9542394375168.

The previous prime is 11012002099997. The next prime is 11012002100027. The reversal of 11012002100021 is 12000120021011.

It can be written as a sum of positive squares in 8 ways, for example, as 55736599396 + 10956265500625 = 236086^2 + 3310025^2 .

It is a cyclic number.

It is not a de Polignac number, because 11012002100021 - 218 = 11012001837877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11012002099975 and 11012002100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012002100027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63960386 + ... + 64132323.

It is an arithmetic number, because the mean of its divisors is an integer number (786809471175).

Almost surely, 211012002100021 is an apocalyptic number.

It is an amenable number.

11012002100021 is a deficient number, since it is larger than the sum of its proper divisors (1576949438779).

11012002100021 is a wasteful number, since it uses less digits than its factorization.

11012002100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128093128.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11012002100021 its reverse (12000120021011), we get a palindrome (23012122121032).

The spelling of 11012002100021 in words is "eleven trillion, twelve billion, two million, one hundred thousand, twenty-one".

Divisors: 1 13 17 221 389 5057 6613 85969 128092709 1665205217 2177576053 28308488689 49828063801 647764829413 847077084617 11012002100021