Search a number
-
+
1356033302000 = 24531353984059
BaseRepresentation
bin10011101110111001111…
…000100001110111110000
311210122011021220010021122
4103232321320201313300
5134204124011131000
62514541511441412
7166653524613026
oct23567170416760
94718137803248
101356033302000
114830aa4a1343
1219a984986268
139ab47ac2b40
14498bd2b6716
15254182d0085
hex13bb9e21df0

1356033302000 has 160 divisors (see below), whose sum is σ = 3597739104960. Its totient is φ = 491241753600.

The previous prime is 1356033301951. The next prime is 1356033302009. The reversal of 1356033302000 is 2033306531.

It is a super-2 number, since 2×13560333020002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356033302009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885971 + ... + 1870029.

It is an arithmetic number, because the mean of its divisors is an integer number (22485869406).

Almost surely, 21356033302000 is an apocalyptic number.

1356033302000 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 1356033302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798869552480).

1356033302000 is an abundant number, since it is smaller than the sum of its proper divisors (2241705802960).

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

1356033302000 is a wasteful number, since it uses less digits than its factorization.

1356033302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984148 (or 984132 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 26.

Adding to 1356033302000 its reverse (2033306531), we get a palindrome (1358066608531).

The spelling of 1356033302000 in words is "one trillion, three hundred fifty-six billion, thirty-three million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 53 65 80 100 104 106 125 130 200 208 212 250 260 265 325 400 424 500 520 530 650 689 848 1000 1040 1060 1300 1325 1378 1625 2000 2120 2600 2650 2756 3250 3445 4240 5200 5300 5512 6500 6625 6890 10600 11024 13000 13250 13780 17225 21200 26000 26500 27560 34450 53000 55120 68900 86125 106000 137800 172250 275600 344500 689000 984059 1378000 1968118 3936236 4920295 7872472 9840590 12792767 15744944 19681180 24601475 25585534 39362360 49202950 51171068 52155127 63963835 78724720 98405900 102342136 104310254 123007375 127927670 196811800 204684272 208620508 246014750 255855340 260775635 319819175 393623600 417241016 492029500 511710680 521551270 639638350 678016651 834482032 984059000 1023421360 1043102540 1279276700 1303878175 1356033302 1599095875 1968118000 2086205080 2558553400 2607756350 2712066604 3198191750 3390083255 4172410160 5117106800 5215512700 5424133208 6396383500 6519390875 6780166510 10431025400 10848266416 12792767000 13038781750 13560333020 16950416275 20862050800 25585534000 26077563500 27120666040 33900832550 52155127000 54241332080 67801665100 84752081375 104310254000 135603330200 169504162750 271206660400 339008325500 678016651000 1356033302000