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102021020002020 = 22357251967757731
BaseRepresentation
bin10111001100100110011110…
…101010000010011011100100
3111101020010002022000010020010
4113030212132222002123210
5101333003022110031040
61000551450511210220
730326526660543120
oct2714463652023344
9441203068003203
10102021020002020
112a563965121659
12b538435216970
1344c07054a6422
141b29bb5220580
15bbdc02d4ae80
hex5cc99ea826e4

102021020002020 has 96 divisors (see below), whose sum is σ = 327767930735616. Its totient is φ = 23226185520000.

The previous prime is 102021020002007. The next prime is 102021020002039. The reversal of 102021020002020 is 20200020120201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102021020001987 and 102021020002005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483773446 + ... + 483984285.

It is an arithmetic number, because the mean of its divisors is an integer number (3414249278496).

Almost surely, 2102021020002020 is an apocalyptic number.

102021020002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021020002020 is an abundant number, since it is smaller than the sum of its proper divisors (225746910733596).

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

102021020002020 is a wasteful number, since it uses less digits than its factorization.

102021020002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967758001 (or 967757999 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102021020002020 its reverse (20200020120201), we get a palindrome (122221040122221).

The spelling of 102021020002020 in words is "one hundred two trillion, twenty-one billion, twenty million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 251 420 502 753 1004 1255 1506 1757 2510 3012 3514 3765 5020 5271 7028 7530 8785 10542 15060 17570 21084 26355 35140 52710 105420 967757731 1935515462 2903273193 3871030924 4838788655 5806546386 6774304117 9677577310 11613092772 13548608234 14516365965 19355154620 20322912351 27097216468 29032731930 33871520585 40645824702 58065463860 67743041170 81291649404 101614561755 135486082340 203229123510 242907190481 406458247020 485814380962 728721571443 971628761924 1214535952405 1457443142886 1700350333367 2429071904810 2914886285772 3400700666734 3643607857215 4858143809620 5101051000101 6801401333468 7287215714430 8501751666835 10202102000202 14574431428860 17003503333670 20404204000404 25505255000505 34007006667340 51010510001010 102021020002020