Base | Representation |
---|---|
bin | 10110101111010101101010… |
… | …100110101000101011000000 |
3 | 111010002212112222000022112201 |
4 | 112233111222212220223000 |
5 | 101102031142103002240 |
6 | 552412001231402544 |
7 | 30031330362550231 |
oct | 2657255246505300 |
9 | 433085488008481 |
10 | 100010102000320 |
11 | 29959056359576 |
12 | b272764983454 |
13 | 43a5bb1cc7525 |
14 | 1a9a72c727088 |
15 | b8675b5c9d9a |
hex | 5af56a9a8ac0 |
100010102000320 has 224 divisors, whose sum is σ = 242847162377856. Its totient is φ = 39221644492800.
The previous prime is 100010102000317. The next prime is 100010102000329. The reversal of 100010102000320 is 23000201010001.
It is a super-2 number, since 2×1000101020003202 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 100010102000297 and 100010102000306.
It is not an unprimeable number, because it can be changed into a prime (100010102000329) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3579317550 + ... + 3579345490.
Almost surely, 2100010102000320 is an apocalyptic number.
100010102000320 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 100010102000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121423581188928).
100010102000320 is an abundant number, since it is smaller than the sum of its proper divisors (142837060377536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100010102000320 is a wasteful number, since it uses less digits than its factorization.
100010102000320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28899 (or 28889 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
Adding to 100010102000320 its reverse (23000201010001), we get a palindrome (123010303010321).
The spelling of 100010102000320 in words is "one hundred trillion, ten billion, one hundred two million, three hundred twenty", and thus it is an aban number.
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