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203113332 = 22342921617
BaseRepresentation
bin11000001101101…
…00001101110100
3112011012020010000
430012310031310
5403444111312
632053231300
75014302102
oct1406641564
9464166100
10203113332
11a471a064
1258032530
1333107406
141cd92c72
1512c71adc
hexc1b4374

203113332 has 60 divisors (see below), whose sum is σ = 549313380. Its totient is φ = 65366784.

The previous prime is 203113307. The next prime is 203113343. The reversal of 203113332 is 233311302.

203113332 is a `hidden beast` number, since 20 + 311 + 3 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69155856 + 133957476 = 8316^2 + 11574^2 .

It is a super-2 number, since 2×2031133322 = 82510051272284448, which contains 22 as substring.

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

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1413 + ... + 20204.

It is an arithmetic number, because the mean of its divisors is an integer number (9155223).

Almost surely, 2203113332 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 203113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274656690).

203113332 is an abundant number, since it is smaller than the sum of its proper divisors (346200048).

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

203113332 is a wasteful number, since it uses less digits than its factorization.

203113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21662 (or 21651 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 203113332 is about 14251.7834673419. The cubic root of 203113332 is about 587.8224161770.

Adding to 203113332 its reverse (233311302), we get a palindrome (436424634).

The spelling of 203113332 in words is "two hundred three million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 21617 43234 64851 86468 129702 194553 259404 389106 583659 626893 778212 1167318 1253786 1750977 1880679 2334636 2507572 3501954 3761358 5642037 7003908 7522716 11284074 16926111 22568148 33852222 50778333 67704444 101556666 203113332