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1023123020 = 225194197677
BaseRepresentation
bin111100111110111…
…001111001001100
32122022012000221012
4330332321321030
54043404414040
6245305024352
734232254643
oct7476717114
92568160835
101023123020
11485587517
122467850b8
13133c74c4a
1499c4a35a
155ec4c865
hex3cfb9e4c

1023123020 has 96 divisors (see below), whose sum is σ = 2344144320. Its totient is φ = 373800960.

The previous prime is 1023123011. The next prime is 1023123043. The reversal of 1023123020 is 203213201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1023122986 and 1023123004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1510922 + ... + 1511598.

It is an arithmetic number, because the mean of its divisors is an integer number (24418170).

Almost surely, 21023123020 is an apocalyptic number.

1023123020 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 1023123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172072160).

1023123020 is an abundant number, since it is smaller than the sum of its proper divisors (1321021300).

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

1023123020 is a wasteful number, since it uses less digits than its factorization.

1023123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1023123020 is about 31986.2942523825. The cubic root of 1023123020 is about 1007.6490167020.

Adding to 1023123020 its reverse (203213201), we get a palindrome (1226336221).

The spelling of 1023123020 in words is "one billion, twenty-three million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 97 164 190 194 205 380 388 410 485 677 779 820 970 1354 1558 1843 1940 2708 3116 3385 3686 3895 3977 6770 7372 7790 7954 9215 12863 13540 15580 15908 18430 19885 25726 27757 36860 39770 51452 55514 64315 65669 75563 79540 111028 128630 131338 138785 151126 257260 262676 277570 302252 328345 377815 527383 555140 656690 755630 1054766 1247711 1313380 1511260 2109532 2495422 2636915 2692429 4990844 5273830 5384858 6238555 10547660 10769716 12477110 13462145 24954220 26924290 51156151 53848580 102312302 204624604 255780755 511561510 1023123020