Base | Representation |
---|---|
bin | 11011111110001110011001… |
… | …011101111110110110101000 |
3 | 121010120220200220110010221121 |
4 | 123332032121131332312220 |
5 | 112111103231144024000 |
6 | 1113352045005545024 |
7 | 34625066426021065 |
oct | 3376163135766650 |
9 | 533526626403847 |
10 | 123023323033000 |
11 | 36220997705875 |
12 | 1196a8b1b75174 |
13 | 5385084c1c600 |
14 | 2254509701c6c |
15 | e351bb717b1a |
hex | 6fe39977eda8 |
123023323033000 has 96 divisors (see below), whose sum is σ = 311722174328760. Its totient is φ = 45423996134400.
The previous prime is 123023323032931. The next prime is 123023323033019. The reversal of 123023323033000 is 330323320321.
123023323033000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 12 ways, for example, as 64887181446564 + 58136141586436 = 8055258^2 + 7624706^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363805329 + ... + 364143328.
Almost surely, 2123023323033000 is an apocalyptic number.
123023323033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
123023323033000 is an abundant number, since it is smaller than the sum of its proper divisors (188698851295760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123023323033000 is a wasteful number, since it uses less digits than its factorization.
123023323033000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 727948704 (or 727948677 counting only the distinct ones).
The product of its (nonzero) digits is 5832, while the sum is 25.
Adding to 123023323033000 its reverse (330323320321), we get a palindrome (123353646353321).
The spelling of 123023323033000 in words is "one hundred twenty-three trillion, twenty-three billion, three hundred twenty-three million, thirty-three thousand".
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