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103102020 = 223257471741
BaseRepresentation
bin1100010010100…
…11011001000100
321012000010101100
412021103121010
5202343231040
614121500100
72361231660
oct611233104
9235003340
10103102020
115322008a
122a641630
131848b718
14d99b8a0
1590b8b30
hex6253644

103102020 has 144 divisors (see below), whose sum is σ = 365234688. Its totient is φ = 23051520.

The previous prime is 103101941. The next prime is 103102033. The reversal of 103102020 is 20201301.

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 = 103101993 and 103102011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58350 + ... + 60090.

It is an arithmetic number, because the mean of its divisors is an integer number (2536352).

Almost surely, 2103102020 is an apocalyptic number.

103102020 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 103102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182617344).

103102020 is an abundant number, since it is smaller than the sum of its proper divisors (262132668).

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

103102020 is a wasteful number, since it uses less digits than its factorization.

103102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1805 counting only the distinct ones).

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

The square root of 103102020 is about 10153.9164857704. The cubic root of 103102020 is about 468.9095286352.

Adding to 103102020 its reverse (20201301), we get a palindrome (123303321).

The spelling of 103102020 in words is "one hundred three million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 47 60 63 70 84 90 94 105 126 140 141 180 188 210 235 252 282 315 329 420 423 470 564 630 658 705 846 940 987 1260 1316 1410 1645 1692 1741 1974 2115 2820 2961 3290 3482 3948 4230 4935 5223 5922 6580 6964 8460 8705 9870 10446 11844 12187 14805 15669 17410 19740 20892 24374 26115 29610 31338 34820 36561 48748 52230 59220 60935 62676 73122 78345 81827 104460 109683 121870 146244 156690 163654 182805 219366 243740 245481 313380 327308 365610 409135 438732 490962 548415 572789 731220 736443 818270 981924 1096830 1145578 1227405 1472886 1636540 1718367 2193660 2291156 2454810 2863945 2945772 3436734 3682215 4909620 5155101 5727890 6873468 7364430 8591835 10310202 11455780 14728860 17183670 20620404 25775505 34367340 51551010 103102020