Search a number
-
+
102314142020 = 2255115707101
BaseRepresentation
bin101111101001001100…
…1011110100101000100
3100210002110002221022102
41133102121132211010
53134014410021040
6115000311051232
710251303600146
oct1372231364504
9323073087272
10102314142020
113a433736272
12179b4970b18
13985709684c
144d48530c96
1529dc4a1515
hex17d265e944

102314142020 has 12 divisors (see below), whose sum is σ = 214859698284. Its totient is φ = 40925656800.

The previous prime is 102314141947. The next prime is 102314142089. The reversal of 102314142020 is 20241413201.

It can be written as a sum of positive squares in 2 ways, for example, as 14399520004 + 87914622016 = 119998^2 + 296504^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5115707101 = 102314142020 / (1 + 0 + 2 + 3 + 1 + 4 + 1 + 4 + 2 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 102314141983 and 102314142001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2557853531 + ... + 2557853570.

It is an arithmetic number, because the mean of its divisors is an integer number (17904974857).

Almost surely, 2102314142020 is an apocalyptic number.

102314142020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102314142020 is an abundant number, since it is smaller than the sum of its proper divisors (112545556264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102314142020 is a wasteful number, since it uses less digits than its factorization.

102314142020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115707110 (or 5115707108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102314142020 its reverse (20241413201), we get a palindrome (122555555221).

The spelling of 102314142020 in words is "one hundred two billion, three hundred fourteen million, one hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 5115707101 10231414202 20462828404 25578535505 51157071010 102314142020