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1300132103000 = 2353173264631
BaseRepresentation
bin10010111010110101111…
…010011000001101011000
311121021212102220222110212
4102322311322120031120
5132300132304244000
62433134503030252
7162634325351333
oct22726572301530
94537772828425
101300132103000
11461423750125
1218bb8373b388
13957a959b1b3
1446cd8d3561a
1523c4581bc35
hex12eb5e98358

1300132103000 has 128 divisors (see below), whose sum is σ = 3232426953600. Its totient is φ = 489459648000.

The previous prime is 1300132102807. The next prime is 1300132103009. The reversal of 1300132103000 is 3012310031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300132103009) 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, 4780685 + ... + 5045315.

It is an arithmetic number, because the mean of its divisors is an integer number (25253335575).

Almost surely, 21300132103000 is an apocalyptic number.

1300132103000 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 1300132103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616213476800).

1300132103000 is an abundant number, since it is smaller than the sum of its proper divisors (1932294850600).

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

1300132103000 is an equidigital number, since it uses as much as digits as its factorization.

1300132103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264703 (or 264655 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1300132103000 its reverse (3012310031), we get a palindrome (1303144413031).

The spelling of 1300132103000 in words is "one trillion, three hundred billion, one hundred thirty-two million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 289 340 425 500 578 680 850 1000 1156 1445 1700 2125 2312 2890 3400 4250 4913 5780 7225 8500 9826 11560 14450 17000 19652 24565 28900 36125 39304 49130 57800 72250 98260 122825 144500 196520 245650 264631 289000 491300 529262 614125 982600 1058524 1228250 1323155 2117048 2456500 2646310 4498727 4913000 5292620 6615775 8997454 10585240 13231550 17994908 22493635 26463100 33078875 35989816 44987270 52926200 66157750 76478359 89974540 112468175 132315500 152956718 179949080 224936350 264631000 305913436 382391795 449872700 562340875 611826872 764783590 899745400 1124681750 1300132103 1529567180 1911958975 2249363500 2600264206 3059134360 3823917950 4498727000 5200528412 6500660515 7647835900 9559794875 10401056824 13001321030 15295671800 19119589750 26002642060 32503302575 38239179500 52005284120 65006605150 76478359000 130013210300 162516512875 260026420600 325033025750 650066051500 1300132103000