| Base | Representation |
|---|---|
| bin | 110010010100100010000110… |
| … | …011111011000000000000000 |
| 3 | 1002000121100101120110010220110 |
| 4 | 302110202012133120000000 |
| 5 | 213001444200241400000 |
| 6 | 2102405535113111320 |
| 7 | 64421234442342324 |
| oct | 6224420637300000 |
| 9 | 1060540346403813 |
| 10 | 221313331200000 |
| 11 | 64576502921436 |
| 12 | 209a400a9b8540 |
| 13 | 96649b0541a70 |
| 14 | 3c9189db6b984 |
| 15 | 1a8bd033c0850 |
| hex | c948867d8000 |
221313331200000 has 1536 divisors, whose sum is σ = 801834939279360. Its totient is φ = 53968896000000.
The previous prime is 221313331199993. The next prime is 221313331200007. The reversal of 221313331200000 is 2133313122.
It is an interprime number because it is at equal distance from previous prime (221313331199993) and next prime (221313331200007).
It is a tau number, because it is divible by the number of its divisors (1536).
It is a self number, because there is not a number n which added to its sum of digits gives 221313331200000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221313331200007) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 603033599817 + ... + 603033600183.
It is an arithmetic number, because the mean of its divisors is an integer number (522027955260).
Almost surely, 2221313331200000 is an apocalyptic number.
221313331200000 is a gapful number since it is divisible by the number (20) 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 221313331200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400917469639680).
221313331200000 is an abundant number, since it is smaller than the sum of its proper divisors (580521608079360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221313331200000 is an frugal number, since it uses more digits than its factorization.
221313331200000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 589 (or 541 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 21.
Adding to 221313331200000 its reverse (2133313122), we get a palindrome (221315464513122).
The spelling of 221313331200000 in words is "two hundred twenty-one trillion, three hundred thirteen billion, three hundred thirty-one million, two hundred thousand".
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