Search a number
-
+
102302103409 = 112290772
BaseRepresentation
bin101111101000110101…
…1100011011101110001
3100210001121110022102221
41133101223203131301
53134003314302114
6114555201041041
710251066350152
oct1372153433561
9323047408387
10102302103409
113a427963500
12179b0926181
1398547400cc
144d46ab9929
1529db3c4524
hex17d1ae3771

102302103409 has 9 divisors (see below), whose sum is σ = 112451633931. Its totient is φ = 92998713720.

The previous prime is 102302103403. The next prime is 102302103419. The reversal of 102302103409 is 904301203201.

The square root of 102302103409 is 319847.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82016368225 + 20285735184 = 286385^2 + 142428^2 .

It is not a de Polignac number, because 102302103409 - 23 = 102302103401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102302103401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3503779 + ... + 3532855.

Almost surely, 2102302103409 is an apocalyptic number.

102302103409 is the 319847-th square number.

102302103409 is the 159924-th centered octagonal number.

It is an amenable number.

102302103409 is a deficient number, since it is larger than the sum of its proper divisors (10149530522).

102302103409 is an frugal number, since it uses more digits than its factorization.

102302103409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58176 (or 29088 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Multiplying 102302103409 by its sum of digits (25), we get a square (2557552585225 = 15992352).

Multiplying 102302103409 by its product of nonzero digits (1296), we get a square (132583526018064 = 115144922).

The spelling of 102302103409 in words is "one hundred two billion, three hundred two million, one hundred three thousand, four hundred nine".

Divisors: 1 11 121 29077 319847 3518317 845471929 9300191219 102302103409