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58134032100 = 223652192472

58134032100 has 567 divisors, whose sum is σ = 203955973977. Its totient is φ = 14374013760.

The previous prime is 58134032069. The next prime is 58134032101. The reversal of 58134032100 is 123043185.

It is a happy number.

The square root of 58134032100 is 241110.

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

58134032100 is a `hidden beast` number, since 581 + 3 + 40 + 32 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20928251556 + 37205780544 = 144666^2 + 192888^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (58134032101) 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 188 ways as a sum of consecutive naturals, for example, 1236894277 + ... + 1236894323.

Almost surely, 258134032100 is an apocalyptic number.

58134032100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58134032100 is the 241110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58134032100

58134032100 is an abundant number, since it is smaller than the sum of its proper divisors (145821941877).

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

58134032100 is a wasteful number, since it uses less digits than its factorization.

58134032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 58134032100 its reverse (123043185), we get a palindrome (58257075285).

The spelling of 58134032100 in words is "fifty-eight billion, one hundred thirty-four million, thirty-two thousand, one hundred".