Base | Representation |
---|---|
bin | 10111001100010011001100… |
… | …110110010001000010001110 |
3 | 111101011010122200112022111000 |
4 | 113030103030312101002032 |
5 | 101332133123422414042 |
6 | 1000534144501041130 |
7 | 30325165006510506 |
oct | 2714231466210216 |
9 | 441133580468430 |
10 | 102000320123022 |
11 | 2a556102626142 |
12 | b5344189b61a6 |
13 | 44bb786b02509 |
14 | 1b28baddd2a06 |
15 | bbd3e093374c |
hex | 5cc4ccd9108e |
102000320123022 has 128 divisors (see below), whose sum is σ = 240795081607680. Its totient is φ = 31894221381120.
The previous prime is 102000320122997. The next prime is 102000320123029. The reversal of 102000320123022 is 220321023000201.
102000320123022 is a `hidden beast` number, since 1 + 0 + 200 + 0 + 320 + 123 + 0 + 22 = 666.
It is a super-3 number, since 3×1020003201230223 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 102000320122986 and 102000320123004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102000320123029) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2184558697 + ... + 2184605387.
It is an arithmetic number, because the mean of its divisors is an integer number (1881211575060).
Almost surely, 2102000320123022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102000320123022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120397540803840).
102000320123022 is an abundant number, since it is smaller than the sum of its proper divisors (138794761484658).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102000320123022 is a wasteful number, since it uses less digits than its factorization.
102000320123022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54543 (or 54537 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 102000320123022 its reverse (220321023000201), we get a palindrome (322321343123223).
The spelling of 102000320123022 in words is "one hundred two trillion, three hundred twenty million, one hundred twenty-three thousand, twenty-two".
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