383314157100 has 324 divisors, whose sum is σ = 1410715817784. Its totient is φ = 86794767360.

The previous prime is 383314157069. The next prime is 383314157117. The reversal of 383314157100 is 1751413383.

383314157100 is a `hidden beast` number, since 3 + 83 + 3 + 1 + 4 + 1 + 571 + 0 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4678084 + ... + 4759316.

It is an arithmetic number, because the mean of its divisors is an integer number (4354061166).

Almost surely, 2^383314157100 is an apocalyptic number.

383314157100 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 383314157100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705357908892).

383314157100 is an abundant number, since it is smaller than the sum of its proper divisors (1027401660684).

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

383314157100 is a wasteful number, since it uses less digits than its factorization.

383314157100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81374 (or 81357 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 383314157100 in words is "three hundred eighty-three billion, three hundred fourteen million, one hundred fifty-seven thousand, one hundred".