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505101114 = 23273233557
BaseRepresentation
bin11110000110110…
…011101100111010
31022012102210110200
4132012303230322
52013301213424
6122042023030
715342201000
oct3606635472
91265383420
10505101114
1123a130a41
121211a7a76
138084cbcb
144b122a70
152e5248c9
hex1e1b3b3a

505101114 has 96 divisors (see below), whose sum is σ = 1332115200. Its totient is φ = 138001248.

The previous prime is 505101109. The next prime is 505101131. The reversal of 505101114 is 411101505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 140224 + ... + 143780.

It is an arithmetic number, because the mean of its divisors is an integer number (13876200).

Almost surely, 2505101114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505101114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666057600).

505101114 is an abundant number, since it is smaller than the sum of its proper divisors (827014086).

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

505101114 is a wasteful number, since it uses less digits than its factorization.

505101114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 505101114 is about 22474.4546986128. The cubic root of 505101114 is about 796.3905697161.

Adding to 505101114 its reverse (411101505), we get a palindrome (916202619).

The spelling of 505101114 in words is "five hundred five million, one hundred one thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 343 414 441 483 686 882 966 1029 1127 1449 2058 2254 2898 3087 3381 3557 6174 6762 7114 7889 10143 10671 15778 20286 21342 23667 24899 32013 47334 49798 64026 71001 74697 81811 142002 149394 163622 174293 224091 245433 348586 448182 490866 522879 572677 736299 1045758 1145354 1220051 1472598 1568637 1718031 2440102 3137274 3436062 3660153 4008739 5154093 7320306 8017478 10308186 10980459 12026217 21960918 24052434 28061173 36078651 56122346 72157302 84183519 168367038 252550557 505101114