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2032023313000 = 23533754919549
BaseRepresentation
bin11101100100011110000…
…001110001101001101000
321012021000012100200222201
4131210132001301221220
5231243040432004000
64153255411425544
7266544301113442
oct35443601615150
97167005320881
102032023313000
1171385a20491a
122899a05b52b4
13119807b76ba5
14704c9901492
1537cce57196a
hex1d91e071a68

2032023313000 has 64 divisors (see below), whose sum is σ = 4883446386000. Its totient is φ = 790841491200.

The previous prime is 2032023312997. The next prime is 2032023313007. The reversal of 2032023313000 is 3133202302.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1016551930564 + 1015471382436 = 1008242^2 + 1007706^2 .

It is not an unprimeable number, because it can be changed into a prime (2032023313007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27422775 + ... + 27496774.

Almost surely, 22032023313000 is an apocalyptic number.

2032023313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032023313000 is an abundant number, since it is smaller than the sum of its proper divisors (2851423073000).

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

2032023313000 is a wasteful number, since it uses less digits than its factorization.

2032023313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54919607 (or 54919593 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 2032023313000 its reverse (3133202302), we get a palindrome (2035156515302).

The spelling of 2032023313000 in words is "two trillion, thirty-two billion, twenty-three million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1480 1850 3700 4625 7400 9250 18500 37000 54919549 109839098 219678196 274597745 439356392 549195490 1098390980 1372988725 2032023313 2196781960 2745977450 4064046626 5491954900 6864943625 8128093252 10160116565 10983909800 13729887250 16256186504 20320233130 27459774500 40640466260 50800582825 54919549000 81280932520 101601165650 203202331300 254002914125 406404662600 508005828250 1016011656500 2032023313000