Search a number
-
+
130211400 = 2335211109181
BaseRepresentation
bin1111100001011…
…01111001001000
3100002000102110110
413300231321020
5231313231100
620530514320
73140531034
oct760557110
9302012413
10130211400
1167556830
12377359a0
1320c90a87
14134171c4
15b671250
hex7c2de48

130211400 has 192 divisors, whose sum is σ = 446846400. Its totient is φ = 31104000.

The previous prime is 130211383. The next prime is 130211401. The reversal of 130211400 is 4112031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (130211401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719310 + ... + 719490.

It is an arithmetic number, because the mean of its divisors is an integer number (2327325).

Almost surely, 2130211400 is an apocalyptic number.

130211400 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 130211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223423200).

130211400 is an abundant number, since it is smaller than the sum of its proper divisors (316635000).

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

130211400 is a wasteful number, since it uses less digits than its factorization.

130211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 130211400 is about 11411.0209885005. The cubic root of 130211400 is about 506.8541453783.

Adding to 130211400 its reverse (4112031), we get a palindrome (134323431).

The spelling of 130211400 in words is "one hundred thirty million, two hundred eleven thousand, four hundred".