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20303334204400 = 2452135417217167
BaseRepresentation
bin1001001110111001111010…
…00001011110001111110000
32122212222110021021122222201
410213130331001132033300
510130122212024020100
6111103120054512544
74163603356145632
oct447347501361760
978788407248881
1020303334204400
116518660940465
12233ab09665754
13b43799b0c550
14502988120a52
1525320a10236a
hex12773d05e3f0

20303334204400 has 120 divisors (see below), whose sum is σ = 52628079823424. Its totient is φ = 7482757708800.

The previous prime is 20303334204347. The next prime is 20303334204409. The reversal of 20303334204400 is 440243330302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20303334204409) 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, 795384 + ... + 6421783.

Almost surely, 220303334204400 is an apocalyptic number.

20303334204400 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 20303334204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26314039911712).

20303334204400 is an abundant number, since it is smaller than the sum of its proper divisors (32324745619024).

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

20303334204400 is a wasteful number, since it uses less digits than its factorization.

20303334204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217739 (or 7217728 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 20303334204400 its reverse (440243330302), we get a palindrome (20743577534702).

The spelling of 20303334204400 in words is "twenty trillion, three hundred three billion, three hundred thirty-four million, two hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 541 650 1040 1082 1300 2164 2600 2705 4328 5200 5410 7033 8656 10820 13525 14066 21640 27050 28132 35165 43280 54100 56264 70330 108200 112528 140660 175825 216400 281320 351650 562640 703300 1406600 2813200 7217167 14434334 28868668 36085835 57737336 72171670 93823171 115474672 144343340 180429175 187646342 288686680 360858350 375292684 469115855 577373360 721716700 750585368 938231710 1443433400 1501170736 1876463420 2345579275 2886866800 3752926840 3904487347 4691158550 7505853680 7808974694 9382317100 15617949388 18764634200 19522436735 31235898776 37529268400 39044873470 50758335511 62471797552 78089746940 97612183675 101516671022 156179493880 195224367350 203033342044 253791677555 312358987760 390448734700 406066684088 507583355110 780897469400 812133368176 1015166710220 1268958387775 1561794938800 2030333420440 2537916775550 4060666840880 5075833551100 10151667102200 20303334204400