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203320230012300 = 223524123117152791
BaseRepresentation
bin101110001110101100101110…
…000101011110010110001100
3222122220020001102011110120110
4232032230232011132112030
5203122144312340343200
62000232005121320020
760553254560625042
oct5616545605362614
9878806042143513
10203320230012300
1159869697326a55
121a9789a5796010
13895b027b5a05b
14382ca746da392
151878c5bee4b50
hexb8eb2e15e58c

203320230012300 has 144 divisors (see below), whose sum is σ = 602882172071424. Its totient is φ = 52873423680000.

The previous prime is 203320230012233. The next prime is 203320230012313. The reversal of 203320230012300 is 3210032023302.

203320230012300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24848905 + ... + 32001695.

It is an arithmetic number, because the mean of its divisors is an integer number (4186681750496).

Almost surely, 2203320230012300 is an apocalyptic number.

203320230012300 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 203320230012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301441086035712).

203320230012300 is an abundant number, since it is smaller than the sum of its proper divisors (399561942059124).

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

203320230012300 is a wasteful number, since it uses less digits than its factorization.

203320230012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7155160 (or 7155153 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 203320230012300 its reverse (3210032023302), we get a palindrome (206530262035602).

The spelling of 203320230012300 in words is "two hundred three trillion, three hundred twenty billion, two hundred thirty million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2311 2460 3075 4100 4622 6150 6933 9244 11555 12300 13866 23110 27732 34665 46220 57775 69330 94751 115550 138660 173325 189502 231100 284253 346650 379004 473755 568506 693300 947510 1137012 1421265 1895020 2368775 2842530 4737550 5685060 7106325 7152791 9475100 14212650 14305582 21458373 28425300 28611164 35763955 42916746 71527910 85833492 107291865 143055820 178819775 214583730 293264431 357639550 429167460 536459325 586528862 715279100 879793293 1072918650 1173057724 1466322155 1759586586 2145837300 2932644310 3519173172 4398966465 5865288620 7331610775 8797932930 14663221550 16530100001 17595865860 21994832325 29326443100 33060200002 43989664650 49590300003 66120400004 82650500005 87979329300 99180600006 165301000010 198361200012 247951500015 330602000020 413252500025 495903000030 677734100041 826505000050 991806000060 1239757500075 1355468200082 1653010000100 2033202300123 2479515000150 2710936400164 3388670500205 4066404600246 4959030000300 6777341000410 8132809200492 10166011500615 13554682000820 16943352501025 20332023001230 33886705002050 40664046002460 50830057503075 67773410004100 101660115006150 203320230012300