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3230213220000 = 253254133737309
BaseRepresentation
bin101111000000010111101…
…101100010011010100000
3102102210202010001120011200
4233000113231202122200
5410410434041020000
610511534531441200
7452242460224434
oct57002755423240
912383663046150
103230213220000
111035a20173288
12442053a56200
131a57b9449840
14b24b38869c4
155905a3ad500
hex2f017b626a0

3230213220000 has 720 divisors, whose sum is σ = 12696143339880. Its totient is φ = 773618688000.

The previous prime is 3230213219983. The next prime is 3230213220007. The reversal of 3230213220000 is 223120323.

It is a happy number.

3230213220000 is a `hidden beast` number, since 3 + 230 + 213 + 220 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 1184066069904 + 2046147150096 = 1088148^2 + 1430436^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (3230213220007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 86561346 + ... + 86598654.

Almost surely, 23230213220000 is an apocalyptic number.

3230213220000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3230213220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348071669940).

3230213220000 is an abundant number, since it is smaller than the sum of its proper divisors (9465930119880).

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

3230213220000 is a wasteful number, since it uses less digits than its factorization.

3230213220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37395 (or 37369 counting only the distinct ones).

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

Adding to 3230213220000 its reverse (223120323), we get a palindrome (3230436340323).

The spelling of 3230213220000 in words is "three trillion, two hundred thirty billion, two hundred thirteen million, two hundred twenty thousand".