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1030233100320 = 25325715439653
BaseRepresentation
bin11101111110111101010…
…11011001000000100000
310122111012201100001101100
432333132223121000200
5113334404133202240
62105141010434400
7134301064602444
oct16773653310040
93574181301340
101030233100320
11367a127aa716
121477bab92a00
13761c5a37108
1437c1380c824
151bbeaa86e30
hexefdead9020

1030233100320 has 72 divisors (see below), whose sum is σ = 3515670459756. Its totient is φ = 274728826368.

The previous prime is 1030233100291. The next prime is 1030233100361. The reversal of 1030233100320 is 230013320301.

1030233100320 is a `hidden beast` number, since 1 + 0 + 30 + 2 + 3 + 310 + 0 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1029827158416 + 405941904 = 1014804^2 + 20148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10302331003202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1030233100293 and 1030233100302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357718387 + ... + 357721266.

Almost surely, 21030233100320 is an apocalyptic number.

1030233100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030233100320 is an abundant number, since it is smaller than the sum of its proper divisors (2485437359436).

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

1030233100320 is a wasteful number, since it uses less digits than its factorization.

1030233100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715439674 (or 715439663 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1030233100320 its reverse (230013320301), we get a palindrome (1260246420621).

The spelling of 1030233100320 in words is "one trillion, thirty billion, two hundred thirty-three million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 715439653 1430879306 2146318959 2861758612 3577198265 4292637918 5723517224 6438956877 7154396530 8585275836 10731594795 11447034448 12877913754 14308793060 17170551672 21463189590 22894068896 25755827508 28617586120 32194784385 34341103344 42926379180 51511655016 57235172240 64389568770 68682206688 85852758360 103023310032 114470344480 128779137540 171705516720 206046620064 257558275080 343411033440 515116550160 1030233100320