Search a number
-
+
13310320031120 = 245735367332659
BaseRepresentation
bin1100000110110000110011…
…1001011011010110010000
31202010110021002101110022102
43001230030321123112100
53221034013411443440
644150402051455532
72542432065344240
oct301541471332620
952113232343272
1013310320031120
114271969727132
1215ab7672b75a8
137572088968c8
143403199d5b20
15181372d6cb15
hexc1b0ce5b590

13310320031120 has 80 divisors (see below), whose sum is σ = 35467613320320. Its totient is φ = 4550610358272.

The previous prime is 13310320031081. The next prime is 13310320031147. The reversal of 13310320031120 is 2113002301331.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 13310320031092 and 13310320031101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33468650 + ... + 33864009.

It is an arithmetic number, because the mean of its divisors is an integer number (443345166504).

Almost surely, 213310320031120 is an apocalyptic number.

13310320031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310320031120 is an abundant number, since it is smaller than the sum of its proper divisors (22157293289200).

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

13310320031120 is a wasteful number, since it uses less digits than its factorization.

13310320031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67333032 (or 67333026 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13310320031120 its reverse (2113002301331), we get a palindrome (15423322332451).

The spelling of 13310320031120 in words is "thirteen trillion, three hundred ten billion, three hundred twenty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 353 560 706 1412 1765 2471 2824 3530 4942 5648 7060 9884 12355 14120 19768 24710 28240 39536 49420 98840 197680 67332659 134665318 269330636 336663295 471328613 538661272 673326590 942657226 1077322544 1346653180 1885314452 2356643065 2693306360 3770628904 4713286130 5386612720 7541257808 9426572260 18853144520 23768428627 37706289040 47536857254 95073714508 118842143135 166379000389 190147429016 237684286270 332758000778 380294858032 475368572540 665516001556 831895001945 950737145080 1331032003112 1663790003890 1901474290160 2662064006224 3327580007780 6655160015560 13310320031120