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203403213402312 = 233711437325169603
BaseRepresentation
bin101110001111111010000000…
…010001111111000011001000
3222200012011020200001110021210
4232033322000101333003020
5203130024240112333222
62000334051331333120
760562253150042520
oct5617720021770310
9880164220043253
10203403213402312
11598a0900289110
121a990aa47511a0
138965ac10abcb1
143832aa7796680
15187aeb7375d0c
hexb8fe8047f0c8

203403213402312 has 128 divisors (see below), whose sum is σ = 634129043880960. Its totient is φ = 52819919973120.

The previous prime is 203403213402283. The next prime is 203403213402427. The reversal of 203403213402312 is 213204312304302.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 203403213402312.

It is an unprimeable number.

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, 4503498 + ... + 20666105.

It is an arithmetic number, because the mean of its divisors is an integer number (4954133155320).

Almost surely, 2203403213402312 is an apocalyptic number.

203403213402312 is a gapful number since it is divisible by the number (22) 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 203403213402312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317064521940480).

203403213402312 is an abundant number, since it is smaller than the sum of its proper divisors (430725830478648).

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

203403213402312 is a wasteful number, since it uses less digits than its factorization.

203403213402312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25174003 (or 25173999 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 203403213402312 its reverse (213204312304302), we get a palindrome (416607525706614).

The spelling of 203403213402312 in words is "two hundred three trillion, four hundred three billion, two hundred thirteen million, four hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 4373 8746 13119 17492 26238 30611 34984 48103 52476 61222 91833 96206 104952 122444 144309 183666 192412 244888 288618 336721 367332 384824 577236 673442 734664 1010163 1154472 1346884 2020326 2693768 4040652 8081304 25169603 50339206 75508809 100678412 151017618 176187221 201356824 276865633 302035236 352374442 528561663 553731266 604070472 704748884 830596899 1057123326 1107462532 1409497768 1661193798 1938059431 2114246652 2214925064 3322387596 3876118862 4228493304 5814178293 6644775192 7752237724 11628356586 15504475448 23256713172 46513426344 110066673919 220133347838 330200021757 440266695676 660400043514 770466717433 880533391352 1210733413109 1320800087028 1540933434866 2311400152299 2421466826218 2641600174056 3081866869732 3632200239327 4622800304598 4842933652436 6163733739464 7264400478654 8475133891763 9245600609196 9685867304872 14528800957308 16950267783526 18491201218392 25425401675289 29057601914616 33900535567052 50850803350578 67801071134104 101701606701156 203403213402312