Search a number
-
+
102102000220 = 22511464100001
BaseRepresentation
bin101111100010111000…
…0001110001001011100
3100202112122221000110201
41133011300032021130
53133101103001340
6114523252113244
710243116453013
oct1370560161134
9322478830421
10102102000220
113a334a0aa70
1217955905824
13982214ab5c
144d282aba7a
1529c8a4979a
hex17c5c0e25c

102102000220 has 24 divisors (see below), whose sum is σ = 233906401008. Its totient is φ = 37128000000.

The previous prime is 102102000151. The next prime is 102102000233. The reversal of 102102000220 is 22000201201.

102102000220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 102102000197 and 102102000206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232049781 + ... + 232050220.

It is an arithmetic number, because the mean of its divisors is an integer number (9746100042).

Almost surely, 2102102000220 is an apocalyptic number.

102102000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102000220 is an abundant number, since it is smaller than the sum of its proper divisors (131804400788).

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

102102000220 is a wasteful number, since it uses less digits than its factorization.

102102000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464100021 (or 464100019 counting only the distinct ones).

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

Adding to 102102000220 its reverse (22000201201), we get a palindrome (124102201421).

The spelling of 102102000220 in words is "one hundred two billion, one hundred two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 464100001 928200002 1856400004 2320500005 4641000010 5105100011 9282000020 10210200022 20420400044 25525500055 51051000110 102102000220