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20332312003300 = 225211619140921193
BaseRepresentation
bin1001001111101111111000…
…01111000000001011100100
32122222202020210010101001211
410213313330033000023210
510131111033333101200
6111124311333401204
74165650434316433
oct447677417001344
978882223111054
1020332312003300
1165299810776a0
122344656199204
13b4643749320b
145041368bd11a
15253d54111aba
hex127dfc3c02e4

20332312003300 has 144 divisors (see below), whose sum is σ = 48246377659200. Its totient is φ = 7376036659200.

The previous prime is 20332312003231. The next prime is 20332312003307. The reversal of 20332312003300 is 330021323302.

It is a super-2 number, since 2×203323120033002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (20332312003307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 959377504 + ... + 959398696.

It is an arithmetic number, because the mean of its divisors is an integer number (335044289300).

Almost surely, 220332312003300 is an apocalyptic number.

20332312003300 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 20332312003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24123188829600).

20332312003300 is an abundant number, since it is smaller than the sum of its proper divisors (27914065655900).

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

20332312003300 is a wasteful number, since it uses less digits than its factorization.

20332312003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23246 (or 23239 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 20332312003300 its reverse (330021323302), we get a palindrome (20662333326602).

The spelling of 20332312003300 in words is "twenty trillion, three hundred thirty-two billion, three hundred twelve million, three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 619 1100 1238 1409 2476 2818 3095 5636 6190 6809 7045 12380 13618 14090 15475 15499 21193 27236 28180 30950 30998 34045 35225 42386 61900 61996 68090 70450 77495 84772 105965 136180 140900 154990 170225 211930 233123 309980 340450 387475 423860 466246 529825 680900 774950 872171 932492 1059650 1165615 1549900 1744342 2119300 2331230 3488684 4360855 4662460 5828075 8721710 9593881 11656150 13118467 17443420 19187762 21804275 23312300 26236934 29860937 38375524 43608550 47969405 52473868 59721874 65592335 87217100 95938810 119443748 131184670 144303137 149304685 191877620 239847025 262369340 288606274 298609370 327961675 328470307 479694050 577212548 597218740 655923350 656940614 721515685 746523425 959388100 1311846700 1313881228 1443031370 1493046850 1642351535 2886062740 2986093700 3284703070 3607578425 6569406140 7215156850 8211757675 14430313700 16423515350 18483920003 32847030700 36967840006 73935680012 92419600015 184839200030 203323120033 369678400060 406646240066 462098000075 813292480132 924196000150 1016615600165 1848392000300 2033231200330 4066462400660 5083078000825 10166156001650 20332312003300