312134516100 has 243 divisors, whose sum is σ = 1076032137999. Its totient is φ = 75624278400.

The previous prime is 312134516063. The next prime is 312134516101. The reversal of 312134516100 is 1615431213.

It is a happy number.

The square root of 312134516100 is 558690.

It is a perfect power (a square), and thus also a powerful number.

312134516100 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 45 + 1 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20949088644 + 291185427456 = 144738^2 + 539616^2 .

It is a super-2 number, since 2×312134516100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312134516101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 184366854 + ... + 184368546.

Almost surely, 2^312134516100 is an apocalyptic number.

312134516100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312134516100 is the 558690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312134516100

312134516100 is an abundant number, since it is smaller than the sum of its proper divisors (763897621899).

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

312134516100 is a wasteful number, since it uses less digits than its factorization.

312134516100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 312134516100 its reverse (1615431213), we get a palindrome (313749947313).

The spelling of 312134516100 in words is "three hundred twelve billion, one hundred thirty-four million, five hundred sixteen thousand, one hundred".