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2000012310 = 234567137269
BaseRepresentation
bin111011100110101…
…1100010000010110
312011101101011010000
41313031130100112
513044000343220
6530243112130
7100363552452
oct16715342026
95141334100
102000012310
11936a5593a
12479972646
1325b47cb4a
1414d89d662
15ba8b6390
hex7735c416

2000012310 has 160 divisors (see below), whose sum is σ = 5518355040. Its totient is φ = 519602688.

The previous prime is 2000012299. The next prime is 2000012321. The reversal of 2000012310 is 132100002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2000012299) and next prime (2000012321).

It is a super-2 number, since 2×20000123102 = 8000098480303072200, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2000012292 and 2000012301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7434856 + ... + 7435124.

It is an arithmetic number, because the mean of its divisors is an integer number (34489719).

Almost surely, 22000012310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000012310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759177520).

2000012310 is an abundant number, since it is smaller than the sum of its proper divisors (3518342730).

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

2000012310 is a wasteful number, since it uses less digits than its factorization.

2000012310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2000012310 is about 44721.4971797680. The cubic root of 2000012310 is about 1259.9236348276.

Adding to 2000012310 its reverse (132100002), we get a palindrome (2132112312).

The spelling of 2000012310 in words is "two billion, twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 81 90 134 135 137 162 201 269 270 274 335 402 405 411 538 603 670 685 807 810 822 1005 1206 1233 1345 1370 1614 1809 2010 2055 2421 2466 2690 3015 3618 3699 4035 4110 4842 5427 6030 6165 7263 7398 8070 9045 9179 10854 11097 12105 12330 14526 18023 18090 18358 18495 21789 22194 24210 27135 27537 36046 36315 36853 36990 43578 45895 54069 54270 55074 55485 72630 73706 82611 90115 91790 108138 108945 110559 110970 137685 162207 165222 180230 184265 217890 221118 247833 270345 275370 324414 331677 368530 413055 486621 495666 540690 552795 663354 743499 811035 826110 973242 995031 1105590 1239165 1459863 1486998 1622070 1658385 1990062 2433105 2469151 2478330 2919726 2985093 3316770 3717495 4866210 4938302 4975155 5970186 7299315 7407453 7434990 9950310 12345755 14598630 14814906 14925465 22222359 24691510 29850930 37037265 44444718 66667077 74074530 111111795 133334154 200001231 222223590 333335385 400002462 666670770 1000006155 2000012310