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203157 = 3222573
BaseRepresentation
bin110001100110010101
3101022200100
4301212111
523000112
64204313
71504203
oct614625
9338610
10203157
111296a9
1299699
1371616
1454073
15402dc
hex31995

203157 has 6 divisors (see below), whose sum is σ = 293462. Its totient is φ = 135432.

The previous prime is 203141. The next prime is 203173. The reversal of 203157 is 751302.

203157 is nontrivially palindromic in base 12.

203157 is digitally balanced in base 2, 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 (203141) and next prime (203173).

It can be written as a sum of positive squares in only one way, i.e., 125316 + 77841 = 354^2 + 279^2 .

It is not a de Polignac number, because 203157 - 24 = 203141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203157.

It is not an unprimeable number, because it can be changed into a prime (203117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11278 + ... + 11295.

2203157 is an apocalyptic number.

It is an amenable number.

203157 is a deficient number, since it is larger than the sum of its proper divisors (90305).

203157 is a wasteful number, since it uses less digits than its factorization.

203157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22579 (or 22576 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 203157 is about 450.7294088475. The cubic root of 203157 is about 58.7864539113.

Adding to 203157 its reverse (751302), we get a palindrome (954459).

The spelling of 203157 in words is "two hundred three thousand, one hundred fifty-seven".

Divisors: 1 3 9 22573 67719 203157