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1013203200300 = 2235247214133563
BaseRepresentation
bin11101011111001111001…
…11011110100100101100
310120212020212120111100120
432233213213132210230
5113100020004402200
62053243100524540
7133126056050244
oct16574747364454
93525225514316
101013203200300
11360773879785
12144447850750
13747107a53b5
1437079b88b24
151b5509559a0
hexebe79de92c

1013203200300 has 144 divisors (see below), whose sum is σ = 2995395282432. Its totient is φ = 264307462400.

The previous prime is 1013203200263. The next prime is 1013203200343. The reversal of 1013203200300 is 30023023101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1013203200300.

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, 30171319 + ... + 30204881.

It is an arithmetic number, because the mean of its divisors is an integer number (20801356128).

Almost surely, 21013203200300 is an apocalyptic number.

1013203200300 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 1013203200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497697641216).

1013203200300 is an abundant number, since it is smaller than the sum of its proper divisors (1982192082132).

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

1013203200300 is a wasteful number, since it uses less digits than its factorization.

1013203200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35768 (or 35761 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1013203200300 its reverse (30023023101), we get a palindrome (1043226223401).

The spelling of 1013203200300 in words is "one trillion, thirteen billion, two hundred three million, two hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2141 2350 2820 3525 4282 4700 6423 7050 8564 10705 12846 14100 21410 25692 32115 33563 42820 53525 64230 67126 100627 100689 107050 128460 134252 160575 167815 201254 201378 214100 301881 321150 335630 402508 402756 503135 503445 603762 642300 671260 839075 1006270 1006890 1207524 1509405 1577461 1678150 2012540 2013780 2515675 2517225 3018810 3154922 3356300 4732383 5031350 5034450 6037620 6309844 7547025 7887305 9464766 10062700 10068900 15094050 15774610 18929532 23661915 30188100 31549220 39436525 47323830 71858383 78873050 94647660 118309575 143716766 157746100 215575149 236619150 287433532 359291915 431150298 473238300 718583830 862300596 1077875745 1437167660 1796459575 2155751490 3377344001 3592919150 4311502980 5389378725 6754688002 7185838300 10132032003 10778757450 13509376004 16886720005 20264064006 21557514900 33773440010 40528128012 50660160015 67546880020 84433600025 101320320030 168867200050 202640640060 253300800075 337734400100 506601600150 1013203200300