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20313103441220 = 2259277109480993
BaseRepresentation
bin1001001111001100000110…
…10100001001110101000100
32122220220200002211022112122
410213212003110021311010
510130302213440104340
6111111413315305112
74164400432245632
oct447460324116504
978826602738478
1020313103441220
1165218143706a7
1223409952ab198
13b44695a61255
14503233774352
152535ccacadb5
hex127983509d44

20313103441220 has 24 divisors (see below), whose sum is σ = 42662115817944. Its totient is φ = 8124365454336.

The previous prime is 20313103441187. The next prime is 20313103441271. The reversal of 20313103441220 is 2214430131302.

It can be written as a sum of positive squares in 4 ways, for example, as 1683106643716 + 18629996797504 = 1297346^2 + 4316248^2 .

It is a super-3 number, since 3×203131034412203 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20313103441220.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 54554957 + ... + 54926036.

It is an arithmetic number, because the mean of its divisors is an integer number (1777588159081).

Almost surely, 220313103441220 is an apocalyptic number.

20313103441220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20313103441220 is an abundant number, since it is smaller than the sum of its proper divisors (22349012376724).

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

20313103441220 is a wasteful number, since it uses less digits than its factorization.

20313103441220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109490279 (or 109490277 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 20313103441220 its reverse (2214430131302), we get a palindrome (22527533572522).

The spelling of 20313103441220 in words is "twenty trillion, three hundred thirteen billion, one hundred three million, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 9277 18554 37108 46385 92770 185540 109480993 218961986 437923972 547404965 1094809930 2189619860 1015655172061 2031310344122 4062620688244 5078275860305 10156551720610 20313103441220