Search a number
-
+
20461310222000 = 245347217673513
BaseRepresentation
bin1001010011100000001010…
…01000001001111010110000
32200110002012220000212002112
410221300011020021322300
510140214230404101000
6111303443545104452
74211165225143544
oct451600510117260
980402186025075
1020461310222000
11657965821669a
122365657488128
13b55654955b3b
1450a492cd5a24
152573a4041235
hex129c05209eb0

20461310222000 has 80 divisors (see below), whose sum is σ = 50528117457792. Its totient is φ = 8010385241600.

The previous prime is 20461310221991. The next prime is 20461310222029. The reversal of 20461310222000 is 22201316402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 108742757 + ... + 108930756.

Almost surely, 220461310222000 is an apocalyptic number.

20461310222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20461310222000 is an abundant number, since it is smaller than the sum of its proper divisors (30066807235792).

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

20461310222000 is a wasteful number, since it uses less digits than its factorization.

20461310222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217673583 (or 217673567 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 20461310222000 its reverse (22201316402), we get a palindrome (20483511538402).

The spelling of 20461310222000 in words is "twenty trillion, four hundred sixty-one billion, three hundred ten million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 11750 18800 23500 47000 94000 217673513 435347026 870694052 1088367565 1741388104 2176735130 3482776208 4353470260 5441837825 8706940520 10230655111 10883675650 17413881040 20461310222 21767351300 27209189125 40922620444 43534702600 51153275555 54418378250 81845240888 87069405200 102306551110 108836756500 163690481776 204613102220 217673513000 255766377775 409226204440 435347026000 511532755550 818452408880 1023065511100 1278831888875 2046131022200 2557663777750 4092262044400 5115327555500 10230655111000 20461310222000