Search a number
-
+
102819921811 = 4120327123373
BaseRepresentation
bin101111111000010001…
…0110111111110010011
3100211101200211012202021
41133300202313332103
53141033344444221
6115122415432311
710266654625615
oct1376042677623
9324350735667
10102819921811
113a6731900a2
1217b16225697
139907ac3629
144d9578cdb5
152a1baac041
hex17f08b7f93

102819921811 has 8 divisors (see below), whose sum is σ = 105333760224. Its totient is φ = 100306370880.

The previous prime is 102819921797. The next prime is 102819921857. The reversal of 102819921811 is 118129918201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102819921811 - 25 = 102819921779 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102819921881) 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 7 ways as a sum of consecutive naturals, for example, 771721 + ... + 895093.

It is an arithmetic number, because the mean of its divisors is an integer number (13166720028).

Almost surely, 2102819921811 is an apocalyptic number.

102819921811 is a deficient number, since it is larger than the sum of its proper divisors (2513838413).

102819921811 is a wasteful number, since it uses less digits than its factorization.

102819921811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143741.

The product of its (nonzero) digits is 20736, while the sum is 43.

The spelling of 102819921811 in words is "one hundred two billion, eight hundred nineteen million, nine hundred twenty-one thousand, eight hundred eleven".

Divisors: 1 41 20327 123373 833407 5058293 2507802971 102819921811