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203331042404 = 227311633114621
BaseRepresentation
bin1011110101011101111…
…0010111110001100100
3201102211111020011122022
42331113132113301210
511312410221324104
6233224201522312
720455506225620
oct2752736276144
9642744204568
10203331042404
1179261088706
12334a71a3398
131623547ca99
149bac65c180
155450b09bbe
hex2f57797c64

203331042404 has 96 divisors (see below), whose sum is σ = 423805304832. Its totient is φ = 83525904000.

The previous prime is 203331042391. The next prime is 203331042407. The reversal of 203331042404 is 404240133302.

It is not an unprimeable number, because it can be changed into a prime (203331042407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43999214 + ... + 44003834.

It is an arithmetic number, because the mean of its divisors is an integer number (4414638592).

Almost surely, 2203331042404 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 203331042404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211902652416).

203331042404 is an abundant number, since it is smaller than the sum of its proper divisors (220474262428).

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

203331042404 is a wasteful number, since it uses less digits than its factorization.

203331042404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 203331042404 its reverse (404240133302), we get a palindrome (607571175706).

The spelling of 203331042404 in words is "two hundred three billion, three hundred thirty-one million, forty-two thousand, four hundred four".

Divisors: 1 2 4 7 14 28 31 62 124 163 217 311 326 434 622 652 868 1141 1244 2177 2282 4354 4564 4621 5053 8708 9242 9641 10106 18484 19282 20212 32347 35371 38564 50693 64694 67487 70742 101386 129388 134974 141484 143251 202772 269948 286502 354851 573004 709702 753223 1002757 1419404 1437131 1506446 1571483 2005514 2874262 3012892 3142966 4011028 5272561 5748524 6285932 10059917 10545122 11000381 20119834 21090244 22000762 23349913 40239668 44001524 44551061 46699826 89102122 93399652 163449391 178204244 234252353 311857427 326898782 468504706 623714854 653797564 937009412 1247429708 1639766471 3279532942 6559065884 7261822943 14523645886 29047291772 50832760601 101665521202 203331042404