Search a number
-
+
102103020 = 223251761547
BaseRepresentation
bin1100001010111…
…11011111101100
321010010101000100
412011133133230
5202114244040
614044231100
72346601305
oct605373754
9233111010
10102103020
11526a8568
122a23b490
13181cbab6
14d7bb7ac
158e6cb30
hex615f7ec

102103020 has 144 divisors (see below), whose sum is σ = 333916128. Its totient is φ = 25159680.

The previous prime is 102103013. The next prime is 102103039. The reversal of 102103020 is 20301201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102102993 and 102103011.

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, 186387 + ... + 186933.

It is an arithmetic number, because the mean of its divisors is an integer number (2318862).

Almost surely, 2102103020 is an apocalyptic number.

102103020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166958064).

102103020 is an abundant number, since it is smaller than the sum of its proper divisors (231813108).

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

102103020 is a wasteful number, since it uses less digits than its factorization.

102103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102103020 is about 10104.6039011928. The cubic root of 102103020 is about 467.3901216408.

Adding to 102103020 its reverse (20301201), we get a palindrome (122404221).

The spelling of 102103020 in words is "one hundred two million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 61 68 85 90 102 122 153 170 180 183 204 244 255 305 306 340 366 510 547 549 610 612 732 765 915 1020 1037 1094 1098 1220 1530 1641 1830 2074 2188 2196 2735 2745 3060 3111 3282 3660 4148 4923 5185 5470 5490 6222 6564 8205 9299 9333 9846 10370 10940 10980 12444 15555 16410 18598 18666 19692 20740 24615 27897 31110 32820 33367 37196 37332 46495 46665 49230 55794 62220 66734 83691 92990 93330 98460 100101 111588 133468 139485 166835 167382 185980 186660 200202 278970 300303 333670 334764 400404 418455 500505 557940 567239 600606 667340 836910 1001010 1134478 1201212 1501515 1673820 1701717 2002020 2268956 2836195 3003030 3403434 5105151 5672390 6006060 6806868 8508585 10210302 11344780 17017170 20420604 25525755 34034340 51051510 102103020