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2010000330 = 23251310915761
BaseRepresentation
bin111011111001110…
…0010101111001010
312012002011121002200
41313303202233022
513104030002310
6531241141030
7100544502162
oct16763425712
95162147080
102010000330
11941657aa8
1248118a776
13260569110
14150d3d5a2
15bb6da9c0
hex77ce2bca

2010000330 has 96 divisors (see below), whose sum is σ = 5679994320. Its totient is φ = 490199040.

The previous prime is 2010000313. The next prime is 2010000331. The reversal of 2010000330 is 330000102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 812079009 + 1197921321 = 28497^2 + 34611^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2010000331) 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 47 ways as a sum of consecutive naturals, for example, 119650 + ... + 135410.

Almost surely, 22010000330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010000330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839997160).

2010000330 is an abundant number, since it is smaller than the sum of its proper divisors (3669993990).

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

2010000330 is a wasteful number, since it uses less digits than its factorization.

2010000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15896 (or 15893 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2010000330 is about 44833.0272232425. The cubic root of 2010000330 is about 1262.0174972856.

Adding to 2010000330 its reverse (330000102), we get a palindrome (2340000432).

The spelling of 2010000330 in words is "two billion, ten million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 109 117 130 195 218 234 327 390 545 585 654 981 1090 1170 1417 1635 1962 2834 3270 4251 4905 7085 8502 9810 12753 14170 15761 21255 25506 31522 42510 47283 63765 78805 94566 127530 141849 157610 204893 236415 283698 409786 472830 614679 709245 1024465 1229358 1418490 1717949 1844037 2048930 3073395 3435898 3688074 5153847 6146790 8589745 9220185 10307694 15461541 17179490 18440370 22333337 25769235 30923082 44666674 51538470 67000011 77307705 111666685 134000022 154615410 201000033 223333370 335000055 402000066 670000110 1005000165 2010000330