Search a number
-
+
102102103000 = 2353972274637
BaseRepresentation
bin101111100010111000…
…0100111001111011000
3100202112200010020110101
41133011300213033120
53133101114244000
6114523254225144
710243120361452
oct1370560471730
9322480106411
10102102103000
113a334a80207
12179559551b4
139822185881
144d282d72d2
1529c8a69e6a
hex17c5c273d8

102102103000 has 128 divisors (see below), whose sum is σ = 242497644480. Its totient is φ = 40233062400.

The previous prime is 102102102961. The next prime is 102102103013. The reversal of 102102103000 is 301201201.

It is a super-3 number, since 3×1021021030003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22016682 + ... + 22021318.

Almost surely, 2102102103000 is an apocalyptic number.

102102103000 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 102102103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121248822240).

102102103000 is an abundant number, since it is smaller than the sum of its proper divisors (140395541480).

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

102102103000 is a wasteful number, since it uses less digits than its factorization.

102102103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102102103000 its reverse (301201201), we get a palindrome (102403304201).

The spelling of 102102103000 in words is "one hundred two billion, one hundred two million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 227 250 388 454 485 500 776 908 970 1000 1135 1816 1940 2270 2425 3880 4540 4637 4850 5675 9080 9274 9700 11350 12125 18548 19400 22019 22700 23185 24250 28375 37096 44038 45400 46370 48500 56750 88076 92740 97000 110095 113500 115925 176152 185480 220190 227000 231850 440380 449789 463700 550475 579625 880760 899578 927400 1052599 1100950 1159250 1799156 2105198 2201900 2248945 2318500 2752375 3598312 4210396 4403800 4497890 4637000 5262995 5504750 8420792 8995780 10525990 11009500 11244725 17991560 21051980 22019000 22489450 26314975 42103960 44978900 52629950 56223625 89957800 102102103 105259900 112447250 131574875 204204206 210519800 224894500 263149750 408408412 449789000 510510515 526299500 816816824 1021021030 1052599000 2042042060 2552552575 4084084120 5105105150 10210210300 12762762875 20420420600 25525525750 51051051500 102102103000