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1011130030300 = 2252134753312241
BaseRepresentation
bin11101011011011000000…
…10111101100011011100
310120122220101112112202111
432231230002331203130
5113031243241432200
62052301241403404
7133023513306655
oct16555402754334
93518811475674
101011130030300
1135a8aa5a6445
12143b69499564
137447011c6a0
1436d206c452c
151b47d93d0ba
hexeb6c0bd8dc

1011130030300 has 144 divisors (see below), whose sum is σ = 2458748380032. Its totient is φ = 358501478400.

The previous prime is 1011130030283. The next prime is 1011130030321. The reversal of 1011130030300 is 30300311101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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, 3082180 + ... + 3394420.

It is an arithmetic number, because the mean of its divisors is an integer number (17074641528).

Almost surely, 21011130030300 is an apocalyptic number.

1011130030300 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 1011130030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229374190016).

1011130030300 is an abundant number, since it is smaller than the sum of its proper divisors (1447618349732).

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

1011130030300 is a wasteful number, since it uses less digits than its factorization.

1011130030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312368 (or 312361 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 1011130030300 its reverse (30300311101), we get a palindrome (1041430341401).

The spelling of 1011130030300 in words is "one trillion, eleven billion, one hundred thirty million, thirty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 47 50 52 53 65 94 100 106 130 188 212 235 260 265 325 470 530 611 650 689 940 1060 1175 1222 1300 1325 1378 2350 2444 2491 2650 2756 3055 3445 4700 4982 5300 6110 6890 9964 12220 12455 13780 15275 17225 24910 30550 32383 34450 49820 61100 62275 64766 68900 124550 129532 161915 249100 312241 323830 624482 647660 809575 1248964 1561205 1619150 3122410 3238300 4059133 6244820 7806025 8118266 14675327 15612050 16236532 16548773 20295665 29350654 31224100 33097546 40591330 58701308 66195092 73376635 81182660 82743865 101478325 146753270 165487730 190779251 202956650 215134049 293506540 330975460 366883175 381558502 405913300 413719325 430268098 733766350 763117004 777792331 827438650 860536196 953896255 1075670245 1467532700 1555584662 1654877300 1907792510 2151340490 3111169324 3815585020 3888961655 4302680980 4769481275 5378351225 7777923310 9538962550 10111300303 10756702450 15555846620 19077925100 19444808275 20222600606 21513404900 38889616550 40445201212 50556501515 77779233100 101113003030 202226006060 252782507575 505565015150 1011130030300