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1001043320 = 235311017993
BaseRepresentation
bin111011101010101…
…011010101111000
32120202122021021112
4323222223111320
54022231341240
6243155455452
733543504434
oct7352532570
92522567245
101001043320
11474076732
1223b2b7588
1312c514034
1496d3d9c4
155cd3a665
hex3baab578

1001043320 has 64 divisors (see below), whose sum is σ = 2348317440. Its totient is φ = 383616000.

The previous prime is 1001043319. The next prime is 1001043343. The reversal of 1001043320 is 233401001.

It is a junction number, because it is equal to n+sod(n) for n = 1001043295 and 1001043304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121244 + ... + 129236.

It is an arithmetic number, because the mean of its divisors is an integer number (36692460).

Almost surely, 21001043320 is an apocalyptic number.

1001043320 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 1001043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174158720).

1001043320 is an abundant number, since it is smaller than the sum of its proper divisors (1347274120).

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

1001043320 is a wasteful number, since it uses less digits than its factorization.

1001043320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8136 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1001043320 is about 31639.2686388292. The cubic root of 1001043320 is about 1000.3476524571.

Adding to 1001043320 its reverse (233401001), we get a palindrome (1234444321).

The spelling of 1001043320 in words is "one billion, one million, forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 101 124 155 202 248 310 404 505 620 808 1010 1240 2020 3131 4040 6262 7993 12524 15655 15986 25048 31310 31972 39965 62620 63944 79930 125240 159860 247783 319720 495566 807293 991132 1238915 1614586 1982264 2477830 3229172 4036465 4955660 6458344 8072930 9911320 16145860 25026083 32291720 50052166 100104332 125130415 200208664 250260830 500521660 1001043320