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2231313221020 = 2251343199580789
BaseRepresentation
bin100000011110000100101…
…000011100010110011100
321220022102001110222102011
4200132010220130112130
5243024212141033040
64425015014041004
7320131010304442
oct40360450342634
97808361428364
102231313221020
11790327163444
1230053a349164
131325480322a0
1479dd357cb92
153d0954cd3ea
hex20784a1c59c

2231313221020 has 48 divisors (see below), whose sum is σ = 5163554198880. Its totient is φ = 804709737216.

The previous prime is 2231313220991. The next prime is 2231313221029. The reversal of 2231313221020 is 201223131322.

It is a super-3 number, since 3×22313132210203 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231313220982 and 2231313221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231313221029) 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, 99779215 + ... + 99801574.

It is an arithmetic number, because the mean of its divisors is an integer number (107574045810).

Almost surely, 22231313221020 is an apocalyptic number.

2231313221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231313221020 is an abundant number, since it is smaller than the sum of its proper divisors (2932240977860).

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

2231313221020 is a wasteful number, since it uses less digits than its factorization.

2231313221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199580854 (or 199580852 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2231313221020 its reverse (201223131322), we get a palindrome (2432536352342).

The spelling of 2231313221020 in words is "two trillion, two hundred thirty-one billion, three hundred thirteen million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2795 5590 11180 199580789 399161578 798323156 997903945 1995807890 2594550257 3991615780 5189100514 8581973927 10378201028 12972751285 17163947854 25945502570 34327895708 42909869635 51891005140 85819739270 111565661051 171639478540 223131322102 446262644204 557828305255 1115656610510 2231313221020