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203131104 = 253111491291
BaseRepresentation
bin11000001101110…
…00100011100000
3112011020010111020
430012320203200
5404000143404
632053445440
75014404651
oct1406704340
9464203436
10203131104
11a4731450
1258040880
1333112527
141cd99528
1512c76ed9
hexc1b88e0

203131104 has 96 divisors (see below), whose sum is σ = 586051200. Its totient is φ = 61094400.

The previous prime is 203131091. The next prime is 203131111. The reversal of 203131104 is 401131302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2031311043 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156699 + ... + 157989.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 2203131104 is an apocalyptic number.

203131104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

203131104 is an abundant number, since it is smaller than the sum of its proper divisors (382920096).

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

203131104 is a wasteful number, since it uses less digits than its factorization.

203131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 203131104 is about 14252.4069546165. The cubic root of 203131104 is about 587.8395600956.

Adding to 203131104 its reverse (401131302), we get a palindrome (604262406).

The spelling of 203131104 in words is "two hundred three million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 149 176 264 298 352 447 528 596 894 1056 1192 1291 1639 1788 2384 2582 3278 3576 3873 4768 4917 5164 6556 7152 7746 9834 10328 13112 14201 14304 15492 19668 20656 26224 28402 30984 39336 41312 42603 52448 56804 61968 78672 85206 113608 123936 157344 170412 192359 227216 340824 384718 454432 577077 681648 769436 1154154 1363296 1538872 2115949 2308308 3077744 4231898 4616616 6155488 6347847 8463796 9233232 12695694 16927592 18466464 25391388 33855184 50782776 67710368 101565552 203131104