| Base | Representation |
|---|---|
| bin | 10111001100100111011010… |
| … | …111011111000000101100000 |
| 3 | 111101020012200202221221121200 |
| 4 | 113030213122323320011200 |
| 5 | 101333012110003424300 |
| 6 | 1000552135115121200 |
| 7 | 30326564020535310 |
| oct | 2714473273700540 |
| 9 | 441205622857550 |
| 10 | 102022031311200 |
| 11 | 2a564333a6a170 |
| 12 | b538677a43200 |
| 13 | 44c0836b73020 |
| 14 | 1b29c6d673440 |
| 15 | bbdc61a13200 |
| hex | 5cc9daef8160 |
102022031311200 has 1728 divisors, whose sum is σ = 496084050588672. Its totient is φ = 19039728844800.
The previous prime is 102022031311129. The next prime is 102022031311201. The reversal of 102022031311200 is 2113130220201.
102022031311200 is a `hidden beast` number, since 1 + 0 + 20 + 220 + 313 + 112 + 0 + 0 = 666.
102022031311200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102022031311201) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 266475109 + ... + 266857691.
It is an arithmetic number, because the mean of its divisors is an integer number (287085677424).
Almost surely, 2102022031311200 is an apocalyptic number.
102022031311200 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 102022031311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248042025294336).
102022031311200 is an abundant number, since it is smaller than the sum of its proper divisors (394062019277472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102022031311200 is a wasteful number, since it uses less digits than its factorization.
102022031311200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 382677 (or 382661 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 102022031311200 its reverse (2113130220201), we get a palindrome (104135161531401).
The spelling of 102022031311200 in words is "one hundred two trillion, twenty-two billion, thirty-one million, three hundred eleven thousand, two hundred".
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