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20312024200 = 23521313815657
BaseRepresentation
bin10010111010101100…
…001110010010001000
31221102120122201222121
4102322230032102020
5313044334233300
613155313101024
71316231233306
oct227254162210
957376581877
1020312024200
118683676466
123b2a557774
131bb9225740
14da9909276
157dd35281a
hex4bab0e488

20312024200 has 96 divisors (see below), whose sum is σ = 50904007560. Its totient is φ = 7493068800.

The previous prime is 20312024177. The next prime is 20312024203. The reversal of 20312024200 is 242021302.

It can be written as a sum of positive squares in 12 ways, for example, as 797610564 + 19514413636 = 28242^2 + 139694^2 .

It is not an unprimeable number, because it can be changed into a prime (20312024203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3587772 + ... + 3593428.

Almost surely, 220312024200 is an apocalyptic number.

20312024200 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 20312024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25452003780).

20312024200 is an abundant number, since it is smaller than the sum of its proper divisors (30591983360).

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

20312024200 is a wasteful number, since it uses less digits than its factorization.

20312024200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7067 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20312024200 its reverse (242021302), we get a palindrome (20554045502).

The spelling of 20312024200 in words is "twenty billion, three hundred twelve million, twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1381 2600 2762 5524 5657 6905 11048 11314 13810 17953 22628 27620 28285 34525 35906 45256 55240 56570 69050 71812 73541 89765 113140 138100 141425 143624 147082 179530 226280 276200 282850 294164 359060 367705 448825 565700 588328 718120 735410 897650 1131400 1470820 1795300 1838525 2941640 3590600 3677050 7354100 7812317 14708200 15624634 31249268 39061585 62498536 78123170 101560121 156246340 195307925 203120242 312492680 390615850 406240484 507800605 781231700 812480968 1015601210 1562463400 2031202420 2539003025 4062404840 5078006050 10156012100 20312024200