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213302222020 = 22541892922749
BaseRepresentation
bin1100011010100111001…
…1011001110011000100
3202101120101202120122001
43012221303121303010
511443320332101040
6241553434515044
721260553654256
oct3065163316304
9671511676561
10213302222020
11825085a8518
123540a595a84
13171641b9174
14a476a3bcd6
1558361c359a
hex31a9cd9cc4

213302222020 has 48 divisors (see below), whose sum is σ = 464015790000. Its totient is φ = 82304583680.

The previous prime is 213302222011. The next prime is 213302222039. The reversal of 213302222020 is 20222203312.

213302222020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 92508439104 + 120793782916 = 304152^2 + 347554^2 .

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 15 ways as a sum of consecutive naturals, for example, 1388395 + ... + 1534354.

It is an arithmetic number, because the mean of its divisors is an integer number (9666995625).

Almost surely, 2213302222020 is an apocalyptic number.

213302222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213302222020 is an abundant number, since it is smaller than the sum of its proper divisors (250713567980).

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

213302222020 is a wasteful number, since it uses less digits than its factorization.

213302222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922888 (or 2922886 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 213302222020 its reverse (20222203312), we get a palindrome (233524425332).

The spelling of 213302222020 in words is "two hundred thirteen billion, three hundred two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 89 164 178 205 356 410 445 820 890 1780 3649 7298 14596 18245 36490 72980 2922749 5845498 11690996 14613745 29227490 58454980 119832709 239665418 260124661 479330836 520249322 599163545 1040498644 1198327090 1300623305 2396654180 2601246610 5202493220 10665111101 21330222202 42660444404 53325555505 106651111010 213302222020