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203332434113300 = 225241330115023713
BaseRepresentation
bin101110001110111000000101…
…100000011011001100010100
3222122221101112221100000212012
4232032320011200123030110
5203122344311113111200
62000241344121443352
760554166161026322
oct5616700540331424
9878841487300765
10203332434113300
115987388a211738
121a97b230940558
13895c2213836ab
14382d4b1486d12
15187922362ea35
hexb8ee0581b314

203332434113300 has 72 divisors (see below), whose sum is σ = 452130079265592. Its totient is φ = 79325199360000.

The previous prime is 203332434113299. The next prime is 203332434113309. The reversal of 203332434113300 is 3311434233302.

It can be written as a sum of positive squares in 12 ways, for example, as 69858637989904 + 133473796123396 = 8358148^2 + 11553086^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203332434113309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6022244 + ... + 21045956.

Almost surely, 2203332434113300 is an apocalyptic number.

203332434113300 is a gapful number since it is divisible by the number (20) 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 203332434113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226065039632796).

203332434113300 is an abundant number, since it is smaller than the sum of its proper divisors (248797645152292).

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

203332434113300 is a wasteful number, since it uses less digits than its factorization.

203332434113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15027069 (or 15027062 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 203332434113300 its reverse (3311434233302), we get a palindrome (206643868346602).

The spelling of 203332434113300 in words is "two hundred three trillion, three hundred thirty-two billion, four hundred thirty-four million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 3301 4100 6602 13204 16505 33010 66020 82525 135341 165050 270682 330100 541364 676705 1353410 2706820 3383525 6767050 13534100 15023713 30047426 60094852 75118565 150237130 300474260 375592825 615972233 751185650 1231944466 1502371300 2463888932 3079861165 6159722330 12319444660 15399305825 30798611650 49593276613 61597223300 99186553226 198373106452 247966383065 495932766130 991865532260 1239831915325 2033324341133 2479663830650 4066648682266 4959327661300 8133297364532 10166621705665 20333243411330 40666486822660 50833108528325 101666217056650 203332434113300