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20023301000 = 2353121716453
BaseRepresentation
bin10010101001011110…
…110101001110001000
31220200110101002012202
4102221132311032020
5312001431113000
613110520455332
71306124151563
oct225136651610
956613332182
1020023301000
1185456a444a
123a6991a548
131b71475701
14d7d42d4da
157c2d1edd5
hex4a97b5388

20023301000 has 64 divisors (see below), whose sum is σ = 46895874480. Its totient is φ = 8002252800.

The previous prime is 20023300987. The next prime is 20023301003. The reversal of 20023301000 is 10332002.

It can be written as a sum of positive squares in 8 ways, for example, as 2328448516 + 17694852484 = 48254^2 + 133022^2 .

It is not an unprimeable number, because it can be changed into a prime (20023301003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208774 + ... + 1225226.

Almost surely, 220023301000 is an apocalyptic number.

20023301000 is a gapful number since it is divisible by the number (20) 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 20023301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23447937240).

20023301000 is an abundant number, since it is smaller than the sum of its proper divisors (26872573480).

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

20023301000 is a wasteful number, since it uses less digits than its factorization.

20023301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17691 (or 17677 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 20023301000 its reverse (10332002), we get a palindrome (20033633002).

The spelling of 20023301000 in words is "twenty billion, twenty-three million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1217 2434 4868 6085 9736 12170 16453 24340 30425 32906 48680 60850 65812 82265 121700 131624 152125 164530 243400 304250 329060 411325 608500 658120 822650 1217000 1645300 2056625 3290600 4113250 8226500 16453000 20023301 40046602 80093204 100116505 160186408 200233010 400466020 500582525 800932040 1001165050 2002330100 2502912625 4004660200 5005825250 10011650500 20023301000