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300011200200 = 233252295747341
BaseRepresentation
bin1000101110110100000…
…11111001111011001000
31001200101022000001112100
410113122003321323020
514403410331401300
6345453453113400
730450362061105
oct4273203717310
91050338001470
10300011200200
11106263557168
124a189188860
13223a225084a
1410740819aac
157c0d672700
hex45da0f9ec8

300011200200 has 144 divisors (see below), whose sum is σ = 1042280471700. Its totient is φ = 77244249600.

The previous prime is 300011200189. The next prime is 300011200241. The reversal of 300011200200 is 2002110003.

It is a happy number.

300011200200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 130729972356 + 169281227844 = 361566^2 + 411438^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2821471 + ... + 2925870.

Almost surely, 2300011200200 is an apocalyptic number.

300011200200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300011200200 is an abundant number, since it is smaller than the sum of its proper divisors (742269271500).

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

300011200200 is a wasteful number, since it uses less digits than its factorization.

300011200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747392 (or 5747380 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 300011200200 its reverse (2002110003), we get a palindrome (302013310203).

The spelling of 300011200200 in words is "three hundred billion, eleven million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 29 30 36 40 45 50 58 60 72 75 87 90 100 116 120 145 150 174 180 200 225 232 261 290 300 348 360 435 450 522 580 600 696 725 870 900 1044 1160 1305 1450 1740 1800 2088 2175 2610 2900 3480 4350 5220 5800 6525 8700 10440 13050 17400 26100 52200 5747341 11494682 17242023 22989364 28736705 34484046 45978728 51726069 57473410 68968092 86210115 103452138 114946820 137936184 143683525 166672889 172420230 206904276 229893640 258630345 287367050 333345778 344840460 413808552 431050575 500018667 517260690 574734100 666691556 689680920 833364445 862101150 1000037334 1034521380 1149468200 1293151725 1333383112 1500056001 1666728890 1724202300 2000074668 2069042760 2500093335 2586303450 3000112002 3333457780 3448404600 4000149336 4166822225 5000186670 5172606900 6000224004 6666915560 7500280005 8333644450 10000373340 10345213800 12000448008 12500466675 15000560010 16667288900 20000746680 25000933350 30001120020 33334577800 37501400025 50001866700 60002240040 75002800050 100003733400 150005600100 300011200200