Base | Representation |
---|---|
bin | 11100000001000111101101… |
… | …011010111000001011111100 |
3 | 121011021221021221201102101200 |
4 | 130001013231122320023330 |
5 | 112122333232300013040 |
6 | 1114023313152535500 |
7 | 34645342315236423 |
oct | 3401075532701374 |
9 | 534257257642350 |
10 | 123222300001020 |
11 | 36298313a519a0 |
12 | 119a1382b51590 |
13 | 539aa752c90cc |
14 | 225ddc399c2ba |
15 | e3a464e5b630 |
hex | 7011ed6b82fc |
123222300001020 has 576 divisors, whose sum is σ = 446395245004800. Its totient is φ = 27186428805120.
The previous prime is 123222300000977. The next prime is 123222300001033. The reversal of 123222300001020 is 20100003222321.
123222300001020 is a `hidden beast` number, since 12 + 322 + 2 + 300 + 0 + 0 + 10 + 20 = 666.
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 = 123222300000984 and 123222300001002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109402972 + ... + 110523548.
It is an arithmetic number, because the mean of its divisors is an integer number (774991744800).
Almost surely, 2123222300001020 is an apocalyptic number.
123222300001020 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 123222300001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223197622502400).
123222300001020 is an abundant number, since it is smaller than the sum of its proper divisors (323172945003780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123222300001020 is a wasteful number, since it uses less digits than its factorization.
123222300001020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1120738 (or 1120733 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 123222300001020 its reverse (20100003222321), we get a palindrome (143322303223341).
The spelling of 123222300001020 in words is "one hundred twenty-three trillion, two hundred twenty-two billion, three hundred million, one thousand, twenty".
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