Search a number
-
+
1301122200 = 2335271718223
BaseRepresentation
bin100110110001101…
…1000110010011000
310100200021212010010
41031203120302120
510131041402300
6333035321520
744146233120
oct11543306230
93320255103
101301122200
116084a4404
123038b02a0
1317973b9c1
14c4b33c80
1579362a50
hex4d8d8c98

1301122200 has 192 divisors, whose sum is σ = 4881116160. Its totient is φ = 279889920.

The previous prime is 1301122189. The next prime is 1301122201. The reversal of 1301122200 is 22211031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301122201) 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, 62289 + ... + 80511.

It is an arithmetic number, because the mean of its divisors is an integer number (25422480).

Almost surely, 21301122200 is an apocalyptic number.

1301122200 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 1301122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440558080).

1301122200 is an abundant number, since it is smaller than the sum of its proper divisors (3579993960).

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

1301122200 is a wasteful number, since it uses less digits than its factorization.

1301122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18266 (or 18257 counting only the distinct ones).

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

The square root of 1301122200 is about 36071.0715116698. The cubic root of 1301122200 is about 1091.7068340470.

Adding to 1301122200 its reverse (22211031), we get a palindrome (1323333231).

The spelling of 1301122200 in words is "one billion, three hundred one million, one hundred twenty-two thousand, two hundred".