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1030001003300 = 225294110945813
BaseRepresentation
bin11101111110100001101…
…10000000101100100100
310122110121112121022010102
432333100312000230210
5113333420224101200
62105102000043232
7134262246033653
oct16772066005444
93573545538112
101030001003300
113679037947a5
12147755303518
13761899224b9
1437bd0a7319a
151bbd54dc6d5
hexefd0d80b24

1030001003300 has 36 divisors (see below), whose sum is σ = 2237477622996. Its totient is φ = 411562531200.

The previous prime is 1030001003281. The next prime is 1030001003303. The reversal of 1030001003300 is 33001000301.

It can be written as a sum of positive squares in 6 ways, for example, as 19079344384 + 1010921658916 = 138128^2 + 1005446^2 .

It is a super-2 number, since 2×10300010033002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1030001003303) 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 11 ways as a sum of consecutive naturals, for example, 5378807 + ... + 5567006.

Almost surely, 21030001003300 is an apocalyptic number.

1030001003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030001003300 is an abundant number, since it is smaller than the sum of its proper divisors (1207476619696).

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

1030001003300 is a wasteful number, since it uses less digits than its factorization.

1030001003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10946768 (or 10946761 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 1030001003300 its reverse (33001000301), we get a palindrome (1063002003601).

The spelling of 1030001003300 in words is "one trillion, thirty billion, one million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 941 1882 3764 4705 9410 18820 23525 47050 94100 10945813 21891626 43783252 54729065 109458130 218916260 273645325 547290650 1094581300 10300010033 20600020066 41200040132 51500050165 103000100330 206000200660 257500250825 515000501650 1030001003300