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12300303200020 = 22511176914759553
BaseRepresentation
bin1011001011111110001100…
…1100111110111100010100
31121112220020021112021202221
42302333203030332330110
53103012010104400040
642054403053512124
72406444660053053
oct262774314767424
947486207467687
1012300303200020
113a12590540830
121467a6a7a2644
136b2bb5299994
143074a30c839a
15164e5c02174a
hexb2fe333ef14

12300303200020 has 96 divisors (see below), whose sum is σ = 29879642330496. Its totient is φ = 4203636326400.

The previous prime is 12300303199991. The next prime is 12300303200021. The reversal of 12300303200020 is 2000230300321.

It is a junction number, because it is equal to n+sod(n) for n = 12300303199967 and 12300303200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300303200021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204564 + ... + 4964116.

It is an arithmetic number, because the mean of its divisors is an integer number (311246274276).

Almost surely, 212300303200020 is an apocalyptic number.

12300303200020 is a gapful number since it is divisible by the number (10) 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 12300303200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14939821165248).

12300303200020 is an abundant number, since it is smaller than the sum of its proper divisors (17579339130476).

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

12300303200020 is a wasteful number, since it uses less digits than its factorization.

12300303200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760281 (or 4760279 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 12300303200020 its reverse (2000230300321), we get a palindrome (14300533500341).

The spelling of 12300303200020 in words is "twelve trillion, three hundred billion, three hundred three million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 691 748 935 1382 1870 2764 3455 3740 6910 7601 11747 13820 15202 23494 30404 38005 46988 58735 76010 117470 129217 152020 234940 258434 516868 646085 1292170 2584340 4759553 9519106 19038212 23797765 47595530 52355083 80912401 95191060 104710166 161824802 209420332 261775415 323649604 404562005 523550830 809124010 890036411 1047101660 1618248020 1780072822 3288851123 3560145644 4450182055 6577702246 8900364110 13155404492 16444255615 17800728220 32888511230 36177362353 55910469091 65777022460 72354724706 111820938182 144709449412 180886811765 223641876364 279552345455 361773623530 559104690910 615015160001 723547247060 1118209381820 1230030320002 2460060640004 3075075800005 6150151600010 12300303200020