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2013402412 = 2271719211717
BaseRepresentation
bin111100000000010…
…0001010100101100
312012022120102212201
41320000201110230
513110412334122
6531442111244
7100615431610
oct17000412454
95168512781
102013402412
1194357103a
1248234b524
1326118a798
14151587340
15bbb5da27
hex7802152c

2013402412 has 72 divisors (see below), whose sum is σ = 4500274464. Its totient is φ = 769319424.

The previous prime is 2013402409. The next prime is 2013402427. The reversal of 2013402412 is 2142043102.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 2013402412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165978 + ... + 177694.

It is an arithmetic number, because the mean of its divisors is an integer number (62503812).

Almost surely, 22013402412 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 2013402412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250137232).

2013402412 is an abundant number, since it is smaller than the sum of its proper divisors (2486872052).

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

2013402412 is a wasteful number, since it uses less digits than its factorization.

2013402412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11783 (or 11762 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2013402412 is about 44870.9528759976. The cubic root of 2013402412 is about 1262.7291168923.

Adding to 2013402412 its reverse (2142043102), we get a palindrome (4155445514).

The spelling of 2013402412 in words is "two billion, thirteen million, four hundred two thousand, four hundred twelve".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 361 476 532 646 722 1292 1444 2261 2527 4522 5054 6137 9044 10108 11717 12274 23434 24548 42959 46868 82019 85918 164038 171836 199189 222623 328076 398378 445246 796756 890492 1394323 1558361 2788646 3116722 3784591 4229837 5577292 6233444 7569182 8459674 15138364 16919348 26492137 29608859 52984274 59217718 71907229 105968548 118435436 143814458 287628916 503350603 1006701206 2013402412