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1330354066600 = 2352133971288853
BaseRepresentation
bin10011010110111111010…
…010000001010010101000
311201011212122212210200001
4103112333102001102220
5133244031120112400
62455053424352344
7165054261662356
oct23267722012250
94634778783601
101330354066600
11473222208749
121959b8a756b4
13985b493a6b0
1448564a3c7d6
1524913b8ca6a
hex135bf4814a8

1330354066600 has 96 divisors (see below), whose sum is σ = 3339394936920. Its totient is φ = 489969976320.

The previous prime is 1330354066543. The next prime is 1330354066603. The reversal of 1330354066600 is 66604530331.

It can be written as a sum of positive squares in 12 ways, for example, as 66128179716 + 1264225886884 = 257154^2 + 1124378^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1330354066600.

It is not an unprimeable number, because it can be changed into a prime (1330354066603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387774 + ... + 1676626.

Almost surely, 21330354066600 is an apocalyptic number.

1330354066600 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 1330354066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669697468460).

1330354066600 is an abundant number, since it is smaller than the sum of its proper divisors (2009040870320).

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

1330354066600 is a wasteful number, since it uses less digits than its factorization.

1330354066600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289279 (or 1289270 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 37.

Adding to 1330354066600 its reverse (66604530331), we get a palindrome (1396958596931).

The spelling of 1330354066600 in words is "one trillion, three hundred thirty billion, three hundred fifty-four million, sixty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 397 520 650 794 1300 1588 1985 2600 3176 3970 5161 7940 9925 10322 15880 19850 20644 25805 39700 41288 51610 79400 103220 129025 206440 258050 516100 1032200 1288853 2577706 5155412 6444265 10310824 12888530 16755089 25777060 32221325 33510178 51554120 64442650 67020356 83775445 128885300 134040712 167550890 257770600 335101780 418877225 511674641 670203560 837754450 1023349282 1675508900 2046698564 2558373205 3351017800 4093397128 5116746410 6651770333 10233492820 12791866025 13303540666 20466985640 25583732050 26607081332 33258851665 51167464100 53214162664 66517703330 102334928200 133035406660 166294258325 266070813320 332588516650 665177033300 1330354066600