Search a number
-
+
1002231300 = 2235272292351
BaseRepresentation
bin111011101111001…
…101011000000100
32120211212121212210
4323233031120010
54023032400200
6243241143420
733556553100
oct7357153004
92524777783
101002231300
11474808234
1223b78ab70
1312c83b995
149716c900
155cec2650
hex3bbcd604

1002231300 has 216 divisors, whose sum is σ = 3491026560. Its totient is φ = 221088000.

The previous prime is 1002231287. The next prime is 1002231301. The reversal of 1002231300 is 31322001.

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 (1002231301) 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, 425125 + ... + 427475.

It is an arithmetic number, because the mean of its divisors is an integer number (16162160).

Almost surely, 21002231300 is an apocalyptic number.

1002231300 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 1002231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745513280).

1002231300 is an abundant number, since it is smaller than the sum of its proper divisors (2488795260).

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

1002231300 is a wasteful number, since it uses less digits than its factorization.

1002231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2397 counting only the distinct ones).

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

The square root of 1002231300 is about 31658.0368942864. The cubic root of 1002231300 is about 1000.7432141625.

Adding to 1002231300 its reverse (31322001), we get a palindrome (1033553301).

The spelling of 1002231300 in words is "one billion, two million, two hundred thirty-one thousand, three hundred".