Search a number
-
+
102002100111 = 3211333566679
BaseRepresentation
bin101111011111111001…
…1001000011110001111
3100202021200221120021200
41132333303020132033
53132400014200421
6114505323000543
710240464355032
oct1367763103617
9322250846250
10102002100111
113a29358759a
1217928369153
139807540972
144d18d05019
1529bedb4726
hex17bfcc878f

102002100111 has 6 divisors (see below), whose sum is σ = 147336366840. Its totient is φ = 68001400068.

The previous prime is 102002100049. The next prime is 102002100121. The reversal of 102002100111 is 111001200201.

It is a happy number.

It is not a de Polignac number, because 102002100111 - 217 = 102001969039 is a prime.

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: 11333566679 = 102002100111 / (1 + 0 + 2 + 0 + 0 + 2 + 1 + 0 + 0 + 1 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 102002100093 and 102002100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002100121) 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, 5666783331 + ... + 5666783348.

It is an arithmetic number, because the mean of its divisors is an integer number (24556061140).

Almost surely, 2102002100111 is an apocalyptic number.

102002100111 is a deficient number, since it is larger than the sum of its proper divisors (45334266729).

102002100111 is a wasteful number, since it uses less digits than its factorization.

102002100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11333566685 (or 11333566682 counting only the distinct ones).

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

Adding to 102002100111 its reverse (111001200201), we get a palindrome (213003300312).

The spelling of 102002100111 in words is "one hundred two billion, two million, one hundred thousand, one hundred eleven".

Divisors: 1 3 9 11333566679 34000700037 102002100111