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1010003320 = 235176132423
BaseRepresentation
bin111100001100110…
…110110101111000
32121101111111002101
4330030312311320
54032030101240
6244115513144
734012613044
oct7414666570
92541444071
101010003320
11479136497
122422b87b4
13131330401
14981d3024
155da0a39a
hex3c336d78

1010003320 has 64 divisors (see below), whose sum is σ = 2411104320. Its totient is φ = 379459584.

The previous prime is 1010003297. The next prime is 1010003339. The reversal of 1010003320 is 233000101.

It is a super-2 number, since 2×10100033202 = 2040213412822044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010003297 and 1010003306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415629 + ... + 418051.

It is an arithmetic number, because the mean of its divisors is an integer number (37673505).

Almost surely, 21010003320 is an apocalyptic number.

1010003320 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 1010003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205552160).

1010003320 is an abundant number, since it is smaller than the sum of its proper divisors (1401101000).

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

1010003320 is a wasteful number, since it uses less digits than its factorization.

1010003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1010003320 is about 31780.5493973909. The cubic root of 1010003320 is about 1003.3233828907.

Adding to 1010003320 its reverse (233000101), we get a palindrome (1243003421).

The spelling of 1010003320 in words is "one billion, ten million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 613 680 1226 2423 2452 3065 4846 4904 6130 9692 10421 12115 12260 19384 20842 24230 24520 41191 41684 48460 52105 82382 83368 96920 104210 164764 205955 208420 329528 411910 416840 823820 1485299 1647640 2970598 5941196 7426495 11882392 14852990 25250083 29705980 50500166 59411960 101000332 126250415 202000664 252500830 505001660 1010003320