Search a number
-
+
103201384 = 231121359139
BaseRepresentation
bin1100010011010…
…11101001101000
321012012011200111
412021223221220
5202404421014
614123544104
72362124446
oct611535150
9235164614
10103201384
1153288800
122a68b034
13184c4a10
14d9c5b96
1590d82c4
hex626ba68

103201384 has 96 divisors (see below), whose sum is σ = 234612000. Its totient is φ = 42261120.

The previous prime is 103201379. The next prime is 103201409. The reversal of 103201384 is 483102301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742387 + ... + 742525.

It is an arithmetic number, because the mean of its divisors is an integer number (2443875).

Almost surely, 2103201384 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 103201384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117306000).

103201384 is an abundant number, since it is smaller than the sum of its proper divisors (131410616).

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

103201384 is a wasteful number, since it uses less digits than its factorization.

103201384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 103201384 is about 10158.8081978153. The cubic root of 103201384 is about 469.0601165887.

Adding to 103201384 its reverse (483102301), we get a palindrome (586303685).

The spelling of 103201384 in words is "one hundred three million, two hundred one thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 59 88 104 118 121 139 143 236 242 278 286 472 484 556 572 649 767 968 1112 1144 1298 1529 1534 1573 1807 2596 3058 3068 3146 3614 5192 6116 6136 6292 7139 7228 8201 8437 12232 12584 14278 14456 16402 16819 16874 19877 28556 32804 33638 33748 39754 57112 65608 67276 67496 79508 90211 92807 106613 134552 159016 180422 185614 213226 218647 360844 371228 426452 437294 721688 742456 852904 874588 992321 1172743 1749176 1984642 2345486 3969284 4690972 7938568 9381944 12900173 25800346 51600692 103201384