Search a number
-
+
332023120020 = 223251844572889
BaseRepresentation
bin1001101010011100001…
…11101100000010010100
31011202000021002002001100
410311032013230002110
520414440404320040
6412310155430100
732662561645314
oct4651607540224
91152007062040
10332023120020
111188a0439349
1254421a55330
13254043a4637
14120da143444
158983c15b30
hex4d4e1ec094

332023120020 has 36 divisors (see below), whose sum is σ = 1007136797940. Its totient is φ = 88539498624.

The previous prime is 332023120003. The next prime is 332023120057. The reversal of 332023120020 is 20021320233.

It is a happy number.

332023120020 is a `hidden beast` number, since 332 + 0 + 2 + 312 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84461146884 + 247561973136 = 290622^2 + 497556^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3320231200202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 332023119975 and 332023120002.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 922286265 + ... + 922286624.

It is an arithmetic number, because the mean of its divisors is an integer number (27976022165).

Almost surely, 2332023120020 is an apocalyptic number.

332023120020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332023120020 is an abundant number, since it is smaller than the sum of its proper divisors (675113677920).

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

332023120020 is a wasteful number, since it uses less digits than its factorization.

332023120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844572904 (or 1844572899 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 332023120020 its reverse (20021320233), we get a palindrome (352044440253).

The spelling of 332023120020 in words is "three hundred thirty-two billion, twenty-three million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1844572889 3689145778 5533718667 7378291556 9222864445 11067437334 16601156001 18445728890 22134874668 27668593335 33202312002 36891457780 55337186670 66404624004 83005780005 110674373340 166011560010 332023120020