Search a number
-
+
2104323112 = 231973199953
BaseRepresentation
bin111110101101101…
…0110110000101000
312102122122200122001
41331123112300220
513302201314422
6544450540344
7103101310543
oct17533266050
95378580561
102104323112
1198a921111
124a88976b4
13276c72808
1415d69385a
15c4b1d227
hex7d6d6c28

2104323112 has 64 divisors (see below), whose sum is σ = 4235760000. Its totient is φ = 977163264.

The previous prime is 2104323103. The next prime is 2104323113. The reversal of 2104323112 is 2113234012.

It is a happy number.

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 2104323112.

It is not an unprimeable number, because it can be changed into a prime (2104323113) 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 15 ways as a sum of consecutive naturals, for example, 2207628 + ... + 2208580.

It is an arithmetic number, because the mean of its divisors is an integer number (66183750).

Almost surely, 22104323112 is an apocalyptic number.

It is an amenable number.

2104323112 is an abundant number, since it is smaller than the sum of its proper divisors (2131436888).

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

2104323112 is a wasteful number, since it uses less digits than its factorization.

2104323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2104323112 is about 45872.9017176808. The cubic root of 2104323112 is about 1281.4573066677.

Adding to 2104323112 its reverse (2113234012), we get a palindrome (4217557124).

The spelling of 2104323112 in words is "two billion, one hundred four million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 19 38 73 76 146 152 199 292 398 584 796 953 1387 1592 1906 2774 3781 3812 5548 7562 7624 11096 14527 15124 18107 29054 30248 36214 58108 69569 72428 116216 139138 144856 189647 276013 278276 379294 552026 556552 758588 1104052 1321811 1517176 2208104 2643622 3603293 5287244 7206586 10574488 13844231 14413172 27688462 28826344 55376924 110753848 263040389 526080778 1052161556 2104323112