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300011121300 = 2235211109383177
BaseRepresentation
bin1000101110110100000…
…11100110101010010100
31001200101021212001022010
410113122003212222110
514403410321340200
6345453451304220
730450361312062
oct4273203465224
91050337761263
10300011121300
11106263502960
124a18914b070
13223a2223967
14107407d9032
157c0d659150
hex45da0e6a94

300011121300 has 144 divisors (see below), whose sum is σ = 947821960512. Its totient is φ = 72662553600.

The previous prime is 300011121269. The next prime is 300011121301. The reversal of 300011121300 is 3121110003.

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 (300011121301) 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, 3565312 + ... + 3648488.

It is an arithmetic number, because the mean of its divisors is an integer number (6582096948).

Almost surely, 2300011121300 is an apocalyptic number.

300011121300 is a gapful number since it is divisible by the number (30) 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 300011121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473910980256).

300011121300 is an abundant number, since it is smaller than the sum of its proper divisors (647810839212).

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

300011121300 is a wasteful number, since it uses less digits than its factorization.

300011121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84298 (or 84291 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 300011121300 its reverse (3121110003), we get a palindrome (303132231303).

The spelling of 300011121300 in words is "three hundred billion, eleven million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1093 1100 1650 2186 3279 3300 4372 5465 6558 10930 12023 13116 16395 21860 24046 27325 32790 36069 48092 54650 60115 65580 72138 81975 83177 109300 120230 144276 163950 166354 180345 240460 249531 300575 327900 332708 360690 415885 499062 601150 721380 831770 901725 914947 998124 1202300 1247655 1663540 1803450 1829894 2079425 2495310 2744841 3606900 3659788 4158850 4574735 4990620 5489682 6238275 8317700 9149470 10979364 12476550 13724205 18298940 22873675 24953100 27448410 45747350 54896820 68621025 90912461 91494700 137242050 181824922 272737383 274484100 363649844 454562305 545474766 909124610 1000037071 1090949532 1363686915 1818249220 2000074142 2272811525 2727373830 3000111213 4000148284 4545623050 5000185355 5454747660 6000222426 6818434575 9091246100 10000370710 12000444852 13636869150 15000556065 20000741420 25000926775 27273738300 30001112130 50001853550 60002224260 75002780325 100003707100 150005560650 300011121300