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2001320310 = 2351171229373
BaseRepresentation
bin111011101001001…
…1011100101110110
312011110211121100110
41313102123211312
513044314222220
6530331123450
7100410641043
oct16722334566
95143747313
102001320310
11937769630
1247a2a3586
1325b81a302
1414db201ca
15baa73be0
hex7749b976

2001320310 has 128 divisors (see below), whose sum is σ = 5351132160. Its totient is φ = 474969600.

The previous prime is 2001320261. The next prime is 2001320311. The reversal of 2001320310 is 130231002.

It is a happy number.

It is a super-2 number, since 2×20013203102 = 8010565966436992200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001320311) 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 63 ways as a sum of consecutive naturals, for example, 5365284 + ... + 5365656.

It is an arithmetic number, because the mean of its divisors is an integer number (41805720).

Almost surely, 22001320310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001320310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675566080).

2001320310 is an abundant number, since it is smaller than the sum of its proper divisors (3349811850).

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

2001320310 is a wasteful number, since it uses less digits than its factorization.

2001320310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2001320310 is about 44736.1186291346. The cubic root of 2001320310 is about 1260.1982366353.

Adding to 2001320310 its reverse (130231002), we get a palindrome (2131551312).

The spelling of 2001320310 in words is "two billion, one million, three hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 229 330 355 373 426 458 687 710 746 781 1065 1119 1145 1374 1562 1865 2130 2238 2290 2343 2519 3435 3730 3905 4103 4686 5038 5595 6870 7557 7810 8206 11190 11715 12309 12595 15114 16259 20515 23430 24618 25190 26483 32518 37785 41030 48777 52966 61545 75570 79449 81295 85417 97554 123090 132415 158898 162590 170834 178849 243885 256251 264830 291313 357698 397245 427085 487770 512502 536547 582626 794490 854170 873939 894245 939587 1073094 1281255 1456565 1747878 1788490 1879174 2562510 2682735 2818761 2913130 4369695 4697935 5365470 5637522 6064607 8739390 9395870 12129214 14093805 18193821 28187610 30323035 36387642 60646070 66710677 90969105 133421354 181938210 200132031 333553385 400264062 667106770 1000660155 2001320310