Search a number
-
+
131310432100 = 225210712272003
BaseRepresentation
bin111101001001010110…
…1100010111101100100
3110112221020202002112001
41322102231202331210
54122410432311400
6140153450135044
712325665154051
oct1722255427544
9415836662461
10131310432100
1150763352171
1221547721484
13c4c8522c43
1464d9544028
153637e14a6a
hex1e92b62f64

131310432100 has 36 divisors (see below), whose sum is σ = 287606685744. Its totient is φ = 52033288480.

The previous prime is 131310432079. The next prime is 131310432101. The reversal of 131310432100 is 1234013131.

131310432100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131310432101) 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, 6125302 + ... + 6146701.

It is an arithmetic number, because the mean of its divisors is an integer number (7989074604).

Almost surely, 2131310432100 is an apocalyptic number.

131310432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131310432100 is an abundant number, since it is smaller than the sum of its proper divisors (156296253644).

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

131310432100 is a wasteful number, since it uses less digits than its factorization.

131310432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12272124 (or 12272117 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131310432100 its reverse (1234013131), we get a palindrome (132544445231).

The spelling of 131310432100 in words is "one hundred thirty-one billion, three hundred ten million, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2675 5350 10700 12272003 24544006 49088012 61360015 122720030 245440060 306800075 613600150 1227200300 1313104321 2626208642 5252417284 6565521605 13131043210 26262086420 32827608025 65655216050 131310432100