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3000221213220 = 223257111889114593
BaseRepresentation
bin101011101010001011000…
…111101010001000100100
3101121211002120112001221100
4223222023013222020210
5343123423112310340
610214141012520100
7426521164352430
oct53521307521044
911554076461840
103000221213220
11a57428728520
12405568020030
13189bc56038ba
14a52d643b9c0
1553098d8d830
hex2ba8b1ea224

3000221213220 has 288 divisors, whose sum is σ = 11352396706560. Its totient is φ = 623087124480.

The previous prime is 3000221213203. The next prime is 3000221213221. The reversal of 3000221213220 is 223121220003.

3000221213220 is a `hidden beast` number, since 300 + 0 + 2 + 21 + 21 + 322 + 0 = 666.

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 = 3000221213193 and 3000221213202.

It is not an unprimeable number, because it can be changed into a prime (3000221213221) 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 95 ways as a sum of consecutive naturals, for example, 26124244 + ... + 26238836.

It is an arithmetic number, because the mean of its divisors is an integer number (39418044120).

Almost surely, 23000221213220 is an apocalyptic number.

3000221213220 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 3000221213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5676198353280).

3000221213220 is an abundant number, since it is smaller than the sum of its proper divisors (8352175493340).

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

3000221213220 is a wasteful number, since it uses less digits than its factorization.

3000221213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116515 (or 116510 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3000221213220 its reverse (223121220003), we get a palindrome (3223342433223).

The spelling of 3000221213220 in words is "three trillion, two hundred twenty-one million, two hundred thirteen thousand, two hundred twenty".