Search a number
-
+
20303131002320 = 245534788474293
BaseRepresentation
bin1001001110111001100001…
…11010010100010111010000
32122212221221002220221010202
410213130300322110113100
510130121303014033240
6111103043555314332
74163565341024015
oct447346072242720
978787832827122
1020303131002320
116518567170761
12233aa715ab9a8
13b437669a392a
1450296914770c
152531e7364315
hex127730e945d0

20303131002320 has 40 divisors (see below), whose sum is σ = 48095435808936. Its totient is φ = 7968021221888.

The previous prime is 20303131002311. The next prime is 20303131002337. The reversal of 20303131002320 is 2320013130302.

It can be written as a sum of positive squares in 4 ways, for example, as 6500093022784 + 13803037979536 = 2549528^2 + 3715244^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×203031310023203 (a number of 41 digits) contains 333 as substring.

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 = 20303131002292 and 20303131002301.

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, 2394232907 + ... + 2394241386.

Almost surely, 220303131002320 is an apocalyptic number.

20303131002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20303131002320 is an abundant number, since it is smaller than the sum of its proper divisors (27792304806616).

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

20303131002320 is a wasteful number, since it uses less digits than its factorization.

20303131002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788474359 (or 4788474353 counting only the distinct ones).

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

Adding to 20303131002320 its reverse (2320013130302), we get a palindrome (22623144132622).

The spelling of 20303131002320 in words is "twenty trillion, three hundred three billion, one hundred thirty-one million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 4788474293 9576948586 19153897172 23942371465 38307794344 47884742930 76615588688 95769485860 191538971720 253789137529 383077943440 507578275058 1015156550116 1268945687645 2030313100232 2537891375290 4060626200464 5075782750580 10151565501160 20303131002320