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1300012334300 = 2252471913793821
BaseRepresentation
bin10010111010101110110…
…001011111110011011100
311121021120002120002201002
4102322232301133303130
5132244411124144200
62433114544005432
7162631342342421
oct22725661376334
94537502502632
101300012334300
11461372087129
1218bb4b600878
139578a825644
1446cc7079d48
1523c3a05ebd5
hex12eaec5fcdc

1300012334300 has 144 divisors (see below), whose sum is σ = 2904534097920. Its totient is φ = 504808416000.

The previous prime is 1300012334297. The next prime is 1300012334317. The reversal of 1300012334300 is 34332100031.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 340226390 + ... + 340230210.

It is an arithmetic number, because the mean of its divisors is an integer number (20170375680).

Almost surely, 21300012334300 is an apocalyptic number.

1300012334300 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 1300012334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452267048960).

1300012334300 is an abundant number, since it is smaller than the sum of its proper divisors (1604521763620).

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

1300012334300 is a wasteful number, since it uses less digits than its factorization.

1300012334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1300012334300 its reverse (34332100031), we get a palindrome (1334344434331).

The spelling of 1300012334300 in words is "one trillion, three hundred billion, twelve million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 191 235 379 382 470 758 764 940 955 1175 1516 1895 1910 2350 3790 3820 3821 4700 4775 7580 7642 8977 9475 9550 15284 17813 17954 18950 19100 19105 35626 35908 37900 38210 44885 71252 72389 76420 89065 89770 95525 144778 178130 179540 179587 191050 224425 289556 356260 359174 361945 382100 445325 448850 718348 723890 729811 890650 897700 897935 1447780 1448159 1459622 1781300 1795870 1809725 2896318 2919244 3402283 3591740 3619450 3649055 4489675 5792636 6804566 7238900 7240795 7298110 8979350 13609132 14481590 14596220 17011415 17958700 18245275 28963180 34022830 34301117 36203975 36490550 68045660 68063473 68602234 72407950 72981100 85057075 136126946 137204468 144815900 170114150 171505585 272253892 276598369 340228300 340317365 343011170 553196738 680634730 686022340 857527925 1106393476 1361269460 1382991845 1701586825 1715055850 2765983690 3403173650 3430111700 5531967380 6806347300 6914959225 13000123343 13829918450 26000246686 27659836900 52000493372 65000616715 130001233430 260002466860 325003083575 650006167150 1300012334300