312349148100 has 324 divisors, whose sum is σ = 1134576997008. Its totient is φ = 71266176000.

The previous prime is 312349148053. The next prime is 312349148129. The reversal of 312349148100 is 1841943213.

312349148100 is a `hidden beast` number, since 3 + 1 + 23 + 491 + 48 + 100 = 666.

It is a super-2 number, since 2×312349148100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 2806515 + ... + 2915685.

Almost surely, 2^312349148100 is an apocalyptic number.

312349148100 is a gapful number since it is divisible by the number (30) 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 312349148100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567288498504).

312349148100 is an abundant number, since it is smaller than the sum of its proper divisors (822227848908).

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

312349148100 is a wasteful number, since it uses less digits than its factorization.

312349148100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109236 (or 109209 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 312349148100 in words is "three hundred twelve billion, three hundred forty-nine million, one hundred forty-eight thousand, one hundred".