Search a number
-
+
1320201300 = 223521117101233
BaseRepresentation
bin100111010110000…
…1010110001010100
310102000012011201110
41032230022301110
510200432420200
6335000255020
744500345245
oct11654126124
93360164643
101320201300
11618245860
1230a171470
1318068bc02
14c749cccc
157ad80b50
hex4eb0ac54

1320201300 has 288 divisors, whose sum is σ = 4474963584. Its totient is φ = 296960000.

The previous prime is 1320201293. The next prime is 1320201313. The reversal of 1320201300 is 31020231.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5665984 + ... + 5666216.

It is an arithmetic number, because the mean of its divisors is an integer number (15538068).

Almost surely, 21320201300 is an apocalyptic number.

1320201300 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 1320201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237481792).

1320201300 is an abundant number, since it is smaller than the sum of its proper divisors (3154762284).

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

1320201300 is a wasteful number, since it uses less digits than its factorization.

1320201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1320201300 is about 36334.5744436343. The cubic root of 1320201300 is about 1097.0170698521.

Adding to 1320201300 its reverse (31020231), we get a palindrome (1351221531).

The spelling of 1320201300 in words is "one billion, three hundred twenty million, two hundred one thousand, three hundred".