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2011708314 = 23271111811229
BaseRepresentation
bin111011111101000…
…0011101110011010
312012012101101000100
41313322003232122
513104444131224
6531341520230
7100565144550
oct16772035632
95165341010
102011708314
11942614260
12481873076
13260a16665
14151265bd0
15bb926ac9
hex77e83b9a

2011708314 has 96 divisors (see below), whose sum is σ = 5443251840. Its totient is φ = 521654400.

The previous prime is 2011708301. The next prime is 2011708331. The reversal of 2011708314 is 4138071102.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1636252 + ... + 1637480.

It is an arithmetic number, because the mean of its divisors is an integer number (56700540).

Almost surely, 22011708314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011708314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721625920).

2011708314 is an abundant number, since it is smaller than the sum of its proper divisors (3431543526).

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

2011708314 is a wasteful number, since it uses less digits than its factorization.

2011708314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2011708314 is about 44852.0714571802. The cubic root of 2011708314 is about 1262.3748596547.

Adding to 2011708314 its reverse (4138071102), we get a palindrome (6149779416).

The spelling of 2011708314 in words is "two billion, eleven million, seven hundred eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1181 1229 1386 2362 2458 3543 3687 7086 7374 8267 8603 10629 11061 12991 13519 16534 17206 21258 22122 24801 25809 25982 27038 38973 40557 49602 51618 74403 77427 77946 81114 90937 94633 116919 121671 148806 154854 181874 189266 233838 243342 272811 283899 545622 567798 818433 851697 1451449 1636866 1703394 2902898 4354347 8708694 10160143 13063041 15965939 20320286 26126082 30480429 31931878 47897817 60960858 91441287 95795634 111761573 143693451 182882574 223523146 287386902 335284719 670569438 1005854157 2011708314