Search a number
-
+
203131350 = 23252587769
BaseRepresentation
bin11000001101110…
…00100111010110
3112011020010211100
430012320213112
5404000200400
632053450530
75014405452
oct1406704726
9464203740
10203131350
11a4731654
1258040a46
1333112686
141cd99662
1512c77100
hexc1b89d6

203131350 has 72 divisors (see below), whose sum is σ = 547386840. Its totient is φ = 54005760.

The previous prime is 203131349. The next prime is 203131361. The reversal of 203131350 is 53131302.

203131350 is a `hidden beast` number, since 2 + 0 + 313 + 1 + 350 = 666.

203131350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 263766 + ... + 264534.

It is an arithmetic number, because the mean of its divisors is an integer number (7602595).

Almost surely, 2203131350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203131350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273693420).

203131350 is an abundant number, since it is smaller than the sum of its proper divisors (344255490).

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

203131350 is a wasteful number, since it uses less digits than its factorization.

203131350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 203131350 is about 14252.4155847351. The cubic root of 203131350 is about 587.8397973947.

Adding to 203131350 its reverse (53131302), we get a palindrome (256262652).

The spelling of 203131350 in words is "two hundred three million, one hundred thirty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 587 769 1174 1538 1761 2307 2935 3522 3845 4614 5283 5870 6921 7690 8805 10566 11535 13842 14675 17610 19225 23070 26415 29350 34605 38450 44025 52830 57675 69210 88050 115350 132075 173025 264150 346050 451403 902806 1354209 2257015 2708418 4062627 4514030 6771045 8125254 11285075 13542090 20313135 22570150 33855225 40626270 67710450 101565675 203131350