312441004100 has 36 divisors (see below), whose sum is σ = 678820969344. Its totient is φ = 124824514080.

The previous prime is 312441004097. The next prime is 312441004147. The reversal of 312441004100 is 1400144213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 1815884 + ... + 1980483.

Almost surely, 2^312441004100 is an apocalyptic number.

It is an amenable number.

312441004100 is an abundant number, since it is smaller than the sum of its proper divisors (366379965244).

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

312441004100 is a wasteful number, since it uses less digits than its factorization.

312441004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797204 (or 3797197 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 312441004100 its reverse (1400144213), we get a palindrome (313841148313).

The spelling of 312441004100 in words is "three hundred twelve billion, four hundred forty-one million, four thousand, one hundred".