Search a number
-
+
102102200020 = 2255105110001
BaseRepresentation
bin101111100010111000…
…0111110111011010100
3100202112200022011112201
41133011300332323110
53133101130400040
6114523300254244
710243121244352
oct1370560767324
9322480264481
10102102200020
113a335037097
12179559a1384
1398221baa92
144d283207d2
1529c8a88a9a
hex17c5c3eed4

102102200020 has 12 divisors (see below), whose sum is σ = 214414620084. Its totient is φ = 40840880000.

The previous prime is 102102199987. The next prime is 102102200027. The reversal of 102102200020 is 20002201201.

102102200020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12540864196 + 89561335824 = 111986^2 + 299268^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102200027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2552554981 + ... + 2552555020.

It is an arithmetic number, because the mean of its divisors is an integer number (17867885007).

Almost surely, 2102102200020 is an apocalyptic number.

102102200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102200020 is an abundant number, since it is smaller than the sum of its proper divisors (112312420064).

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

102102200020 is a wasteful number, since it uses less digits than its factorization.

102102200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105110010 (or 5105110008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102102200020 its reverse (20002201201), we get a palindrome (122104401221).

The spelling of 102102200020 in words is "one hundred two billion, one hundred two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 5105110001 10210220002 20420440004 25525550005 51051100010 102102200020