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103310020 = 2251117231201
BaseRepresentation
bin1100010100001…
…10001011000100
321012101200201001
412022012023010
5202421410040
614130143044
72363056252
oct612061304
9235350631
10103310020
1153352390
122a721a84
13185322b8
14da135d2
15910a59a
hex62862c4

103310020 has 96 divisors (see below), whose sum is σ = 261709056. Its totient is φ = 33792000.

The previous prime is 103309991. The next prime is 103310033. The reversal of 103310020 is 20013301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103309979 and 103310006.

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, 85420 + ... + 86620.

It is an arithmetic number, because the mean of its divisors is an integer number (2726136).

Almost surely, 2103310020 is an apocalyptic number.

103310020 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 103310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130854528).

103310020 is an abundant number, since it is smaller than the sum of its proper divisors (158399036).

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

103310020 is a wasteful number, since it uses less digits than its factorization.

103310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 103310020 is about 10164.1536784919. The cubic root of 103310020 is about 469.2246458589.

Adding to 103310020 its reverse (20013301), we get a palindrome (123323321).

The spelling of 103310020 in words is "one hundred three million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 23 34 44 46 55 68 85 92 110 115 170 187 220 230 253 340 374 391 460 506 748 782 935 1012 1201 1265 1564 1870 1955 2402 2530 3740 3910 4301 4804 5060 6005 7820 8602 12010 13211 17204 20417 21505 24020 26422 27623 40834 43010 52844 55246 66055 81668 86020 102085 110492 132110 138115 204170 224587 264220 276230 303853 408340 449174 469591 552460 607706 898348 939182 1122935 1215412 1519265 1878364 2245870 2347955 3038530 4491740 4695910 5165501 6077060 9391820 10331002 20662004 25827505 51655010 103310020