Search a number
-
+
2010301300 = 225274915849
BaseRepresentation
bin111011111010010…
…1100001101110100
312012002201212221201
41313310230031310
513104114120200
6531251422244
7100550164510
oct16764541564
95162655851
102010301300
11941843137
124812b4984
132606430c7
14150dbb140
15bb749c6a
hex77d2c374

2010301300 has 72 divisors (see below), whose sum is σ = 4996555200. Its totient is φ = 687724800.

The previous prime is 2010301243. The next prime is 2010301303. The reversal of 2010301300 is 31030102.

It is a super-2 number, since 2×20103013002 = 8082622633563380000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010301303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340776 + ... + 346624.

It is an arithmetic number, because the mean of its divisors is an integer number (69396600).

Almost surely, 22010301300 is an apocalyptic number.

2010301300 is a gapful number since it is divisible by the number (20) 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 2010301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498277600).

2010301300 is an abundant number, since it is smaller than the sum of its proper divisors (2986253900).

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

2010301300 is a wasteful number, since it uses less digits than its factorization.

2010301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361 (or 6354 counting only the distinct ones).

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

The square root of 2010301300 is about 44836.3836632706. The cubic root of 2010301300 is about 1262.0804840829.

Adding to 2010301300 its reverse (31030102), we get a palindrome (2041331402).

The spelling of 2010301300 in words is "two billion, ten million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 491 700 982 1964 2455 3437 4910 5849 6874 9820 11698 12275 13748 17185 23396 24550 29245 34370 40943 49100 58490 68740 81886 85925 116980 146225 163772 171850 204715 292450 343700 409430 584900 818860 1023575 2047150 2871859 4094300 5743718 11487436 14359295 20103013 28718590 40206026 57437180 71796475 80412052 100515065 143592950 201030130 287185900 402060260 502575325 1005150650 2010301300