Search a number
-
+
130320900 = 22355231173
BaseRepresentation
bin1111100010010…
…00101000000100
3100002012222200000
413301020220010
5231330232100
620533121300
73141465213
oct761105004
9302188600
10130320900
1167621026
1237789230
1320ccb878
141344507a
15b693900
hex7c48a04

130320900 has 216 divisors, whose sum is σ = 439805184. Its totient is φ = 33436800.

The previous prime is 130320899. The next prime is 130320901. The reversal of 130320900 is 9023031.

It is an interprime number because it is at equal distance from previous prime (130320899) and next prime (130320901).

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 (130320901) 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, 753214 + ... + 753386.

Almost surely, 2130320900 is an apocalyptic number.

130320900 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 130320900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219902592).

130320900 is an abundant number, since it is smaller than the sum of its proper divisors (309484284).

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

130320900 is a wasteful number, since it uses less digits than its factorization.

130320900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 130320900 is about 11415.8179733211. The cubic root of 130320900 is about 506.9961835783.

Adding to 130320900 its reverse (9023031), we get a palindrome (139343931).

The spelling of 130320900 in words is "one hundred thirty million, three hundred twenty thousand, nine hundred".