| Base | Representation |
|---|---|
| bin | 1001001010010001111100… |
| … | …1111110110111100000000 |
| 3 | 1022122220011111201102212000 |
| 4 | 2102210133033312330000 |
| 5 | 2310010402433410000 |
| 6 | 33231040513104000 |
| 7 | 2056460031103566 |
| oct | 222443717667400 |
| 9 | 38586144642760 |
| 10 | 10072222560000 |
| 11 | 3233673064337 |
| 12 | 1168092b58000 |
| 13 | 580a63ba2c23 |
| 14 | 26b6d8db5a36 |
| 15 | 12700572a000 |
| hex | 9291f3f6f00 |
10072222560000 has 2880 divisors, whose sum is σ = 42205309977600. Its totient is φ = 2355167232000.
The previous prime is 10072222559953. The next prime is 10072222560079. The reversal of 10072222560000 is 6522227001.
10072222560000 is a `hidden beast` number, since 10 + 0 + 7 + 2 + 22 + 25 + 600 + 0 + 0 = 666.
10072222560000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 113171039956 + ... + 113171040044.
It is an arithmetic number, because the mean of its divisors is an integer number (14654621520).
Almost surely, 210072222560000 is an apocalyptic number.
10072222560000 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 10072222560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21102654988800).
10072222560000 is an abundant number, since it is smaller than the sum of its proper divisors (32133087417600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10072222560000 is an equidigital number, since it uses as much as digits as its factorization.
10072222560000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 241 (or 206 counting only the distinct ones).
The product of its (nonzero) digits is 3360, while the sum is 27.
Adding to 10072222560000 its reverse (6522227001), we get a palindrome (10078744787001).
The spelling of 10072222560000 in words is "ten trillion, seventy-two billion, two hundred twenty-two million, five hundred sixty thousand".
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