| Base | Representation |
|---|---|
| bin | 110000011101010101010110… |
| … | …010111111011111000110000 |
| 3 | 1000221121021012002202101101200 |
| 4 | 300131111112113323320300 |
| 5 | 210413242344423410000 |
| 6 | 2033134523250131200 |
| 7 | 62614362236156535 |
| oct | 6035252627737060 |
| 9 | 1027537162671350 |
| 10 | 213122021310000 |
| 11 | 619a85a5a4a2a0 |
| 12 | 1baa0585880b00 |
| 13 | 91bc421b2a47a |
| 14 | 3a8b2375d6d8c |
| 15 | 1998bd5d9d500 |
| hex | c1d5565fbe30 |
213122021310000 has 3600 divisors, whose sum is σ = 897662828544768. Its totient is φ = 46746201600000.
The previous prime is 213122021309999. The next prime is 213122021310001. The reversal of 213122021310000 is 13120221312.
213122021310000 is a `hidden beast` number, since 2 + 1 + 312 + 20 + 21 + 310 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (213122021309999) and next prime (213122021310001).
It is a tau number, because it is divible by the number of its divisors (3600).
It is a super-2 number, since 2×2131220213100002 (a number of 29 digits) contains 22 as substring.
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 (213122021310001) by changing a digit.
It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 938863529887 + ... + 938863530113.
Almost surely, 2213122021310000 is an apocalyptic number.
213122021310000 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 213122021310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448831414272384).
213122021310000 is an abundant number, since it is smaller than the sum of its proper divisors (684540807234768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213122021310000 is a wasteful number, since it uses less digits than its factorization.
213122021310000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 418 (or 375 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 213122021310000 its reverse (13120221312), we get a palindrome (213135141531312).
The spelling of 213122021310000 in words is "two hundred thirteen trillion, one hundred twenty-two billion, twenty-one million, three hundred ten thousand".
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