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203753312420 = 22574756954421
BaseRepresentation
bin1011110111000010100…
…1001101000010100100
3201110220220210201012112
42331300221031002210
511314241321444140
6233334124340152
720502124402550
oct2756051150244
9643826721175
10203753312420
1179458484399
12335a46a4658
13162a1abaab8
149c0c77c860
155477c1bc65
hex2f70a4d0a4

203753312420 has 96 divisors (see below), whose sum is σ = 500299269120. Its totient is φ = 68250516480.

The previous prime is 203753312417. The next prime is 203753312449. The reversal of 203753312420 is 24213357302.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3716810 + ... + 3771230.

It is an arithmetic number, because the mean of its divisors is an integer number (5211450720).

Almost surely, 2203753312420 is an apocalyptic number.

203753312420 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 203753312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250149634560).

203753312420 is an abundant number, since it is smaller than the sum of its proper divisors (296545956700).

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

203753312420 is a wasteful number, since it uses less digits than its factorization.

203753312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55053 (or 55051 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

Adding to 203753312420 its reverse (24213357302), we get a palindrome (227966669722).

The spelling of 203753312420 in words is "two hundred three billion, seven hundred fifty-three million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 569 658 940 1138 1316 1645 2276 2845 3290 3983 5690 6580 7966 11380 15932 19915 26743 39830 53486 54421 79660 106972 108842 133715 187201 217684 267430 272105 374402 380947 534860 544210 748804 761894 936005 1088420 1523788 1872010 1904735 2557787 3744020 3809470 5115574 7618940 10231148 12788935 17904509 25577870 30965549 35809018 51155740 61931098 71618036 89522545 123862196 154827745 179045090 216758843 309655490 358090180 433517686 619310980 867035372 1083794215 1455380803 2167588430 2910761606 4335176860 5821523212 7276904015 10187665621 14553808030 20375331242 29107616060 40750662484 50938328105 101876656210 203753312420