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103101032300 = 22527310129761
BaseRepresentation
bin110000000000101001…
…1001110011101101100
3100212010021210002211212
41200001103032131230
53142122331013200
6115210340533552
710306640213000
oct1400123163554
9325107702755
10103101032300
113a7a7932612
1217b943b12b8
1399511095b6
144dc0c46700
152a365d9035
hex18014ce76c

103101032300 has 144 divisors (see below), whose sum is σ = 263500843200. Its totient is φ = 34997760000.

The previous prime is 103101032263. The next prime is 103101032329. The reversal of 103101032300 is 3230101301.

103101032300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1031010323002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3449420 + ... + 3479180.

Almost surely, 2103101032300 is an apocalyptic number.

103101032300 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 103101032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131750421600).

103101032300 is an abundant number, since it is smaller than the sum of its proper divisors (160399810900).

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

103101032300 is a wasteful number, since it uses less digits than its factorization.

103101032300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29897 (or 29876 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 103101032300 its reverse (3230101301), we get a palindrome (106331133601).

The spelling of 103101032300 in words is "one hundred three billion, one hundred one million, thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 101 140 175 196 202 245 343 350 404 490 505 686 700 707 980 1010 1225 1372 1414 1715 2020 2450 2525 2828 3430 3535 4900 4949 5050 6860 7070 8575 9898 10100 14140 17150 17675 19796 24745 29761 34300 34643 35350 49490 59522 69286 70700 98980 119044 123725 138572 148805 173215 208327 247450 297610 346430 416654 494900 595220 692860 744025 833308 866075 1041635 1458289 1488050 1732150 2083270 2916578 2976100 3005861 3464300 4166540 5208175 5833156 6011722 7291445 10208023 10416350 12023444 14582890 15029305 20416046 20832700 21041027 29165780 30058610 36457225 40832092 42082054 51040115 60117220 72914450 75146525 84164108 102080230 105205135 145828900 147287189 150293050 204160460 210410270 255200575 294574378 300586100 420820540 510401150 526025675 589148756 736435945 1020802300 1031010323 1052051350 1472871890 2062020646 2104102700 2945743780 3682179725 4124041292 5155051615 7364359450 10310103230 14728718900 20620206460 25775258075 51550516150 103101032300