1023211300 has 36 divisors (see below), whose sum is σ = 2350982340. Its totient is φ = 385208320.

The previous prime is 1023211297. The next prime is 1023211307. The reversal of 1023211300 is 31123201.

It can be written as a sum of positive squares in 6 ways, for example, as 8916196 + 1014295104 = 2986^2 + 31848^2 .

It is a super-2 number, since 2×1023211300² = 2093922728895380000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1023211307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299245 + ... + 302644.

It is an arithmetic number, because the mean of its divisors is an integer number (65305065).

Almost surely, 2^1023211300 is an apocalyptic number.

1023211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023211300 is an abundant number, since it is smaller than the sum of its proper divisors (1327771040).

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

1023211300 is a wasteful number, since it uses less digits than its factorization.

1023211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601920 (or 601913 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1023211300 is about 31987.6741886621. The cubic root of 1023211300 is about 1007.6779974779.

Adding to 1023211300 its reverse (31123201), we get a palindrome (1054334501).

The spelling of 1023211300 in words is "one billion, twenty-three million, two hundred eleven thousand, three hundred".