Base | Representation |
---|---|
bin | 11011111110010101110010… |
… | …001100001110010110001000 |
3 | 121010121200011121222001210100 |
4 | 123332111302030032112020 |
5 | 112111221002011013112 |
6 | 1113355440002045400 |
7 | 34625500111105626 |
oct | 3376256214162610 |
9 | 533550147861710 |
10 | 123031254001032 |
11 | 36224297513503 |
12 | 11970346049860 |
13 | 5385a4a0726c0 |
14 | 2254a5cb5a516 |
15 | e354d2b292dc |
hex | 6fe57230e588 |
123031254001032 has 192 divisors, whose sum is σ = 380695948542000. Its totient is φ = 35558960136192.
The previous prime is 123031254001009. The next prime is 123031254001063. The reversal of 123031254001032 is 230100452130321.
123031254001032 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 12 + 540 + 0 + 103 + 2 = 666.
123031254001032 is digitally balanced in base 4, 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 8 ways, for example, as 89947659637476 + 33083594363556 = 9484074^2 + 5751834^2 .
It is a super-2 number, since 2×1230312540010322 (a number of 29 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 123031254000987 and 123031254001005.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503944 + ... + 15694472.
Almost surely, 2123031254001032 is an apocalyptic number.
123031254001032 is a gapful number since it is divisible by the number (12) 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 123031254001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190347974271000).
123031254001032 is an abundant number, since it is smaller than the sum of its proper divisors (257664694540968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123031254001032 is a wasteful number, since it uses less digits than its factorization.
123031254001032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15191080 (or 15191073 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The spelling of 123031254001032 in words is "one hundred twenty-three trillion, thirty-one billion, two hundred fifty-four million, one thousand, thirty-two".
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