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100293 = 3101331
BaseRepresentation
bin11000011111000101
312002120120
4120133011
511202133
62052153
7565254
oct303705
9162516
10100293
1169396
124a059
133685b
142879b
151eab3
hex187c5

100293 has 8 divisors (see below), whose sum is σ = 135456. Its totient is φ = 66000.

The previous prime is 100291. The next prime is 100297. The reversal of 100293 is 392001.

100293 is nontrivially palindromic in base 11.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100293 - 21 = 100291 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (16932).

2100293 is an apocalyptic number.

It is an amenable number.

100293 is a deficient number, since it is larger than the sum of its proper divisors (35163).

100293 is a wasteful number, since it uses less digits than its factorization.

100293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 100293 is about 316.6907008423. The cubic root of 100293 is about 46.4611769839.

Adding to 100293 its reverse (392001), we get a palindrome (492294).

It can be divided in two parts, 100 and 293, that added together give a palindrome (393).

The spelling of 100293 in words is "one hundred thousand, two hundred ninety-three".

Divisors: 1 3 101 303 331 993 33431 100293