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1320311331300 = 22352132771222171
BaseRepresentation
bin10011001101101000101…
…100000001100111100100
311200012221202200222201210
4103031220230001213210
5133112444200100200
62450313113551420
7164250355100613
oct23155054014744
94605852628653
101320311331300
11469a39365005
12193a75715570
1397674139680
1447c90d5387a
152452718c650
hex13368b019e4

1320311331300 has 144 divisors (see below), whose sum is σ = 4128809892032. Its totient is φ = 323826163200.

The previous prime is 1320311331239. The next prime is 1320311331341. The reversal of 1320311331300 is 31331130231.

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, 469215 + ... + 1691385.

Almost surely, 21320311331300 is an apocalyptic number.

1320311331300 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 1320311331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064404946016).

1320311331300 is an abundant number, since it is smaller than the sum of its proper divisors (2808498560732).

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

1320311331300 is a wasteful number, since it uses less digits than its factorization.

1320311331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222478 (or 1222471 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1320311331300 its reverse (31331130231), we get a palindrome (1351642461531).

The spelling of 1320311331300 in words is "one trillion, three hundred twenty billion, three hundred eleven million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 277 300 325 390 554 650 780 831 975 1108 1300 1385 1662 1950 2770 3324 3601 3900 4155 5540 6925 7202 8310 10803 13850 14404 16620 18005 20775 21606 27700 36010 41550 43212 54015 72020 83100 90025 108030 180050 216060 270075 360100 540150 1080300 1222171 2444342 3666513 4888684 6110855 7333026 12221710 14666052 15888223 18332565 24443420 30554275 31776446 36665130 47664669 61108550 63552892 73330260 79441115 91662825 95329338 122217100 158882230 183325650 190658676 238323345 317764460 338541367 366651300 397205575 476646690 677082734 794411150 953293380 1015624101 1191616725 1354165468 1588822300 1692706835 2031248202 2383233450 3385413670 4062496404 4401037771 4766466900 5078120505 6770827340 8463534175 8802075542 10156241010 13203113313 16927068350 17604151084 20312482020 22005188855 25390602525 26406226626 33854136700 44010377710 50781205050 52812453252 66015566565 88020755420 101562410100 110025944275 132031133130 220051888550 264062266260 330077832825 440103777100 660155665650 1320311331300