Search a number
-
+
100002110211 = 3211111345579
BaseRepresentation
bin101110100100010010…
…1110001101100000011
3100120010022121112220200
41131020211301230003
53114301020011321
6113535040140243
710140100624503
oct1351045615403
9316108545820
10100002110211
1139457647583
121746a607683
13957909b0a3
144ba944da03
152904504d26
hex1748971b03

100002110211 has 6 divisors (see below), whose sum is σ = 144447492540. Its totient is φ = 66668073468.

The previous prime is 100002110209. The next prime is 100002110261. The reversal of 100002110211 is 112011200001.

It is a happy number.

It is not a de Polignac number, because 100002110211 - 21 = 100002110209 is a prime.

It is a super-4 number, since 4×1000021102114 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11111345579 = 100002110211 / (1 + 0 + 0 + 0 + 0 + 2 + 1 + 1 + 0 + 2 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 100002110193 and 100002110202.

It is not an unprimeable number, because it can be changed into a prime (100002110261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5555672781 + ... + 5555672798.

It is an arithmetic number, because the mean of its divisors is an integer number (24074582090).

Almost surely, 2100002110211 is an apocalyptic number.

100002110211 is a deficient number, since it is larger than the sum of its proper divisors (44445382329).

100002110211 is a wasteful number, since it uses less digits than its factorization.

100002110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111345585 (or 11111345582 counting only the distinct ones).

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

Adding to 100002110211 its reverse (112011200001), we get a palindrome (212013310212).

The spelling of 100002110211 in words is "one hundred billion, two million, one hundred ten thousand, two hundred eleven".

Divisors: 1 3 9 11111345579 33334036737 100002110211