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10000020213300 = 223521311322691219
BaseRepresentation
bin1001000110000100111110…
…1001110000111000110100
31022101222210121021012021010
42101201033221300320310
52302320020133311200
633133540150152220
72051322552222225
oct221411751607064
938358717235233
1010000020213300
113205a9178a627
1211560a2652670
13576cc83b4a60
14268009ab124c
151251cbad7150
hex9184fa70e34

10000020213300 has 144 divisors (see below), whose sum is σ = 31434782420160. Its totient is φ = 2439759759360.

The previous prime is 10000020213277. The next prime is 10000020213301. The reversal of 10000020213300 is 331202000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000020213301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10904910 + ... + 11786309.

It is an arithmetic number, because the mean of its divisors is an integer number (218297100140).

Almost surely, 210000020213300 is an apocalyptic number.

10000020213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000020213300 is an abundant number, since it is smaller than the sum of its proper divisors (21434762206860).

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

10000020213300 is a wasteful number, since it uses less digits than its factorization.

10000020213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22691362 (or 22691355 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10000020213300 its reverse (331202000001), we get a palindrome (10331222213301).

The spelling of 10000020213300 in words is "ten trillion, twenty million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 113 130 150 156 195 226 260 300 325 339 390 452 565 650 678 780 975 1130 1300 1356 1469 1695 1950 2260 2825 2938 3390 3900 4407 5650 5876 6780 7345 8475 8814 11300 14690 16950 17628 22035 29380 33900 36725 44070 73450 88140 110175 146900 220350 440700 22691219 45382438 68073657 90764876 113456095 136147314 226912190 272294628 294985847 340368285 453824380 567280475 589971694 680736570 884957541 1134560950 1179943388 1361473140 1474929235 1701841425 1769915082 2269121900 2564107747 2949858470 3403682850 3539830164 4424787705 5128215494 5899716940 6807365700 7374646175 7692323241 8849575410 10256430988 12820538735 14749292350 15384646482 17699150820 22123938525 25641077470 29498584700 30769292964 33333400711 38461616205 44247877050 51282154940 64102693675 66666801422 76923232410 88495754100 100000202133 128205387350 133333602844 153846464820 166667003555 192308081025 200000404266 256410774700 333334007110 384616162050 400000808532 500001010665 666668014220 769232324100 833335017775 1000002021330 1666670035550 2000004042660 2500005053325 3333340071100 5000010106650 10000020213300