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2101200012 = 2232167373937
BaseRepresentation
bin111110100111101…
…1100010010001100
312102102210000112200
41331033130102030
513300401400022
6544300001500
7103032622362
oct17517342214
95372700480
102101200012
1198908873a
124a7830290
1327641b122
1415d0bd632
15c4702bac
hex7d3dc48c

2101200012 has 72 divisors (see below), whose sum is σ = 5363213856. Its totient is φ = 693598464.

The previous prime is 2101200011. The next prime is 2101200019. The reversal of 2101200012 is 2100021012.

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

It is a junction number, because it is equal to n+sod(n) for n = 2101199967 and 2101200003.

It is not an unprimeable number, because it can be changed into a prime (2101200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2242008 + ... + 2242944.

Almost surely, 22101200012 is an apocalyptic number.

It is an amenable number.

2101200012 is an abundant number, since it is smaller than the sum of its proper divisors (3262013844).

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

2101200012 is a wasteful number, since it uses less digits than its factorization.

2101200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2101200012 is about 45838.8482839611. The cubic root of 2101200012 is about 1280.8230408205.

Adding to 2101200012 its reverse (2100021012), we get a palindrome (4201221024).

The spelling of 2101200012 in words is "two billion, one hundred one million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 167 334 373 501 668 746 937 1002 1119 1492 1503 1874 2004 2238 2811 3006 3357 3748 4476 5622 6012 6714 8433 11244 13428 16866 33732 62291 124582 156479 186873 249164 312958 349501 373746 469437 560619 625916 699002 747492 938874 1048503 1121238 1398004 1408311 1877748 2097006 2242476 2816622 3145509 4194012 5633244 6291018 12582036 58366667 116733334 175100001 233466668 350200002 525300003 700400004 1050600006 2101200012