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30100 = 2252743

30100 has 36 divisors (see below), whose sum is σ = 76384. Its totient is φ = 10080.

The previous prime is 30097. The next prime is 30103. The reversal of 30100 is 103.

It is a happy number.

30100 is nontrivially palindromic in base 9.

30100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (30097) and next prime (30103).

It is a Harshad number since it is a multiple of its sum of digits (4).

30100 is strictly pandigital in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 30100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679 + ... + 721.

230100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38192).

30100 is an abundant number, since it is smaller than the sum of its proper divisors (46284).

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

30100 is a wasteful number, since it uses less digits than its factorization.

30100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 4.

The square root of 30100 is about 173.4935157290. The cubic root of 30100 is about 31.1068115751.

Adding to 30100 its reverse (103), we get a palindrome (30203).

The spelling of 30100 in words is "thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 602 700 860 1075 1204 1505 2150 3010 4300 6020 7525 15050 30100