Search a number
-
+
203123312 = 247592521
BaseRepresentation
bin11000001101101…
…10101001110000
3112011012201210122
430012312221300
5403444421222
632053345412
75014343150
oct1406665160
9464181718
10203123312
11a4726607
1258038268
133310bb12
141cd96760
1512c74a42
hexc1b6a70

203123312 has 60 divisors (see below), whose sum is σ = 458403696. Its totient is φ = 85413120.

The previous prime is 203123287. The next prime is 203123321. The reversal of 203123312 is 213321302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389612 + ... + 390132.

Almost surely, 2203123312 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 203123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229201848).

203123312 is an abundant number, since it is smaller than the sum of its proper divisors (255280384).

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

203123312 is an equidigital number, since it uses as much as digits as its factorization.

203123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 203123312 is about 14252.1335946587. The cubic root of 203123312 is about 587.8320435963.

Adding to 203123312 its reverse (213321302), we get a palindrome (416444614).

The spelling of 203123312 in words is "two hundred three million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 521 826 944 1042 1652 2084 3304 3481 3647 4168 6608 6962 7294 8336 13924 14588 24367 27848 29176 30739 48734 55696 58352 61478 97468 122956 194936 215173 245912 389872 430346 491824 860692 1721384 1813601 3442768 3627202 7254404 12695207 14508808 25390414 29017616 50780828 101561656 203123312