Base | Representation |
---|---|
bin | 11101110000000001001… |
… | …10100010101100000000 |
3 | 10121201111201211012020120 |
4 | 32320000212202230000 |
5 | 113221442323220000 |
6 | 2101333045340240 |
7 | 133565242233324 |
oct | 16700046425400 |
9 | 3551451735216 |
10 | 1022212320000 |
11 | 364577229753 |
12 | 146140a07680 |
13 | 755180c9661 |
14 | 37692495984 |
15 | 1b8cb8346a0 |
hex | ee009a2b00 |
1022212320000 has 360 divisors, whose sum is σ = 3491573726256. Its totient is φ = 265218048000.
The previous prime is 1022212319941. The next prime is 1022212320013. The reversal of 1022212320000 is 232122201.
It is a happy number.
It is a super-3 number, since 3×10222123200003 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17731222 + ... + 17788778.
Almost surely, 21022212320000 is an apocalyptic number.
1022212320000 is a gapful number since it is divisible by the number (10) 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 1022212320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745786863128).
1022212320000 is an abundant number, since it is smaller than the sum of its proper divisors (2469361406256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022212320000 is an frugal number, since it uses more digits than its factorization.
1022212320000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 57633 (or 57604 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
Adding to 1022212320000 its reverse (232122201), we get a palindrome (1022444442201).
The spelling of 1022212320000 in words is "one trillion, twenty-two billion, two hundred twelve million, three hundred twenty thousand".
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