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1032033312020 = 225279718448933
BaseRepresentation
bin11110000010010011111…
…10101001110100010100
310122122212011202021120202
433001021332221310110
5113402101011441040
62110035355320032
7134363514261164
oct17011176516424
93578764667522
101032033312020
11368756999387
12148021a50018
137642199c639
1437d4493c5a4
151bca3b33015
hexf049fa9d14

1032033312020 has 24 divisors (see below), whose sum is σ = 2168044927944. Its totient is φ = 412665710976.

The previous prime is 1032033312019. The next prime is 1032033312049. The reversal of 1032033312020 is 202133302301.

1032033312020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 301781027716 + 730252284304 = 549346^2 + 854548^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1032033311983 and 1032033312001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9168527 + ... + 9280406.

It is an arithmetic number, because the mean of its divisors is an integer number (90335205331).

Almost surely, 21032033312020 is an apocalyptic number.

1032033312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032033312020 is an abundant number, since it is smaller than the sum of its proper divisors (1136011615924).

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

1032033312020 is a wasteful number, since it uses less digits than its factorization.

1032033312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18451739 (or 18451737 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1032033312020 its reverse (202133302301), we get a palindrome (1234166614321).

It can be divided in two parts, 10320333120 and 20, that multiplied together give a square (206406662400 = 4543202).

The spelling of 1032033312020 in words is "one trillion, thirty-two billion, thirty-three million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 2797 5594 11188 13985 27970 55940 18448933 36897866 73795732 92244665 184489330 368978660 51601665601 103203331202 206406662404 258008328005 516016656010 1032033312020