Search a number
-
+
130643100 = 223252789233
BaseRepresentation
bin1111100100101…
…11010010011100
3100002211100122100
413302113102130
5231421034400
620544045100
73144306450
oct762272234
9302740570
10130643100
1167821105
1237903790
13210b2413
14134ca660
15b709100
hex7c9749c

130643100 has 216 divisors, whose sum is σ = 475282080. Its totient is φ = 29399040.

The previous prime is 130643081. The next prime is 130643101. The reversal of 130643100 is 1346031.

130643100 is a `hidden beast` number, since 13 + 0 + 643 + 10 + 0 = 666.

It is a super-2 number, since 2×1306431002 = 34135239155220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130643101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 560584 + ... + 560816.

It is an arithmetic number, because the mean of its divisors is an integer number (2200380).

Almost surely, 2130643100 is an apocalyptic number.

130643100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130643100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237641040).

130643100 is an abundant number, since it is smaller than the sum of its proper divisors (344638980).

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

130643100 is a wasteful number, since it uses less digits than its factorization.

130643100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130643100 is about 11429.9212595713. The cubic root of 130643100 is about 507.4136651733.

Adding to 130643100 its reverse (1346031), we get a palindrome (131989131).

The spelling of 130643100 in words is "one hundred thirty million, six hundred forty-three thousand, one hundred".