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1320121330300 = 2252171495639257
BaseRepresentation
bin10011001101011101010…
…111001110101001111100
311200012110112011221100201
4103031131113032221330
5133112102030032200
62450242205333244
7164242560110053
oct23153527165174
94605415157321
101320121330300
11469951091493
12193a21b67224
1397643973646
1447c73a1539a
152451565ac6a
hex1335d5cea7c

1320121330300 has 144 divisors (see below), whose sum is σ = 3059283880800. Its totient is φ = 492721315840.

The previous prime is 1320121330267. The next prime is 1320121330391. The reversal of 1320121330300 is 30331210231.

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, 142603272 + ... + 142612528.

It is an arithmetic number, because the mean of its divisors is an integer number (21245026950).

Almost surely, 21320121330300 is an apocalyptic number.

1320121330300 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 1320121330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529641940400).

1320121330300 is an abundant number, since it is smaller than the sum of its proper divisors (1739162550500).

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

1320121330300 is a wasteful number, since it uses less digits than its factorization.

1320121330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000 (or 9993 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1320121330300 its reverse (30331210231), we get a palindrome (1350452540531).

The spelling of 1320121330300 in words is "one trillion, three hundred twenty billion, one hundred twenty-one million, three hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 149 170 298 340 425 563 596 745 850 1126 1490 1700 2252 2533 2815 2980 3725 5066 5630 7450 9257 9571 10132 11260 12665 14075 14900 18514 19142 25330 28150 37028 38284 46285 47855 50660 56300 63325 83887 92570 95710 126650 157369 167774 185140 191420 231425 239275 253300 314738 335548 419435 462850 478550 629476 786845 838870 925700 957100 1379293 1426079 1573690 1677740 2097175 2758586 2852158 3147380 3934225 4194350 5211691 5517172 5704316 6896465 7130395 7868450 8388700 10423382 13792930 14260790 15736900 20846764 23447981 26058455 27585860 28521580 34482325 35651975 46895962 52116910 68964650 71303950 88598747 93791924 104233820 117239905 130292275 137929300 142607900 177197494 234479810 260584550 354394988 442993735 468959620 521169100 586199525 776541959 885987470 1172399050 1553083918 1771974940 2214968675 2344798100 3106167836 3882709795 4429937350 7765419590 8859874700 13201213303 15530839180 19413548975 26402426606 38827097950 52804853212 66006066515 77654195900 132012133030 264024266060 330030332575 660060665150 1320121330300