Search a number
-
+
1033030300000 = 255573141511
BaseRepresentation
bin11110000100001010110…
…01110111000101100000
310122202102122202111222111
433002011121313011200
5113411121224100000
62110322332245104
7134430311445526
oct17020531670540
93582378674874
101033030300000
11369118745196
1214825b910794
13765503c385a
1437ddb104316
151bd1141bcba
hexf085677160

1033030300000 has 144 divisors (see below), whose sum is σ = 2576901255264. Its totient is φ = 407548800000.

The previous prime is 1033030299967. The next prime is 1033030300009. The reversal of 1033030300000 is 30303301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033030300009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7229245 + ... + 7370755.

It is an arithmetic number, because the mean of its divisors is an integer number (17895147606).

Almost surely, 21033030300000 is an apocalyptic number.

1033030300000 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 1033030300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288450627632).

1033030300000 is an abundant number, since it is smaller than the sum of its proper divisors (1543870955264).

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

1033030300000 is an frugal number, since it uses more digits than its factorization.

1033030300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141619 (or 141591 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 13.

Adding to 1033030300000 its reverse (30303301), we get a palindrome (1033060603301).

The spelling of 1033030300000 in words is "one trillion, thirty-three billion, thirty million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 625 730 800 1000 1168 1250 1460 1825 2000 2336 2500 2920 3125 3650 4000 5000 5840 6250 7300 9125 10000 11680 12500 14600 18250 20000 25000 29200 36500 45625 50000 58400 73000 91250 100000 141511 146000 182500 228125 283022 292000 365000 456250 566044 707555 730000 912500 1132088 1415110 1460000 1825000 2264176 2830220 3537775 3650000 4528352 5660440 7075550 7300000 10330303 11320880 14151100 17688875 20660606 22641760 28302200 35377750 41321212 51651515 56604400 70755500 82642424 88444375 103303030 113208800 141511000 165284848 176888750 206606060 258257575 283022000 330569696 353777500 413212120 442221875 516515150 566044000 707555000 826424240 884443750 1033030300 1291287875 1415110000 1652848480 1768887500 2066060600 2582575750 2830220000 3537775000 4132121200 5165151500 6456439375 7075550000 8264242400 10330303000 12912878750 14151100000 20660606000 25825757500 32282196875 41321212000 51651515000 64564393750 103303030000 129128787500 206606060000 258257575000 516515150000 1033030300000