Search a number
-
+
130210100 = 22527317837
BaseRepresentation
bin1111100001011…
…01100100110100
3100002000100200022
413300231210310
5231313210400
620530504312
73140524166
oct760554464
9302010608
10130210100
1167555859
1237735098
1320c902c7
1413416936
15b670b85
hex7c2d934

130210100 has 36 divisors (see below), whose sum is σ = 286442604. Its totient is φ = 51367680.

The previous prime is 130210081. The next prime is 130210103. The reversal of 130210100 is 1012031.

130210100 = T3215 + T3216 + ... + T3239.

It can be written as a sum of positive squares in 6 ways, for example, as 1024144 + 129185956 = 1012^2 + 11366^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130210103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1619 + ... + 16218.

It is an arithmetic number, because the mean of its divisors is an integer number (7956739).

Almost surely, 2130210100 is an apocalyptic number.

130210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130210100 is an abundant number, since it is smaller than the sum of its proper divisors (156232504).

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

130210100 is a wasteful number, since it uses less digits than its factorization.

130210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17924 (or 17917 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 130210100 is about 11410.9640258832. The cubic root of 130210100 is about 506.8524586018.

Adding to 130210100 its reverse (1012031), we get a palindrome (131222131).

The spelling of 130210100 in words is "one hundred thirty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 17837 35674 71348 89185 178370 356740 445925 891850 1302101 1783700 2604202 5208404 6510505 13021010 26042020 32552525 65105050 130210100