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2010103212 = 223131011131129
BaseRepresentation
bin111011111001111…
…1011110110101100
312012002100211020010
41313303323312230
513104041300322
6531243253220
7100545411135
oct16763736654
95162324203
102010103212
11941718327
1248121a210
132605a3bb0
14150d68c8c
15bb70b20c
hex77cfbdac

2010103212 has 96 divisors (see below), whose sum is σ = 5150738880. Its totient is φ = 606412800.

The previous prime is 2010103211. The next prime is 2010103217. The reversal of 2010103212 is 2123010102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2010103211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1779864 + ... + 1780992.

It is an arithmetic number, because the mean of its divisors is an integer number (53653530).

Almost surely, 22010103212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010103212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575369440).

2010103212 is an abundant number, since it is smaller than the sum of its proper divisors (3140635668).

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

2010103212 is a wasteful number, since it uses less digits than its factorization.

2010103212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2010103212 is about 44834.1745992942. The cubic root of 2010103212 is about 1262.0390290680.

Adding to 2010103212 its reverse (2123010102), we get a palindrome (4133113314).

The spelling of 2010103212 in words is "two billion, ten million, one hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 113 156 202 226 303 339 404 452 606 678 1129 1212 1313 1356 1469 2258 2626 2938 3387 3939 4407 4516 5252 5876 6774 7878 8814 11413 13548 14677 15756 17628 22826 29354 34239 44031 45652 58708 68478 88062 114029 127577 136956 148369 176124 228058 255154 296738 342087 382731 445107 456116 510308 593476 684174 765462 890214 1368348 1482377 1530924 1658501 1780428 2964754 3317002 4447131 4975503 5929508 6634004 8894262 9951006 12885277 17788524 19902012 25770554 38655831 51541108 77311662 154623324 167508601 335017202 502525803 670034404 1005051606 2010103212