Base | Representation |
---|---|
bin | 101110101101110011… |
… | …1011110100000011000 |
3 | 100120221120021020120202 |
4 | 1131123213132200120 |
5 | 3120424224314112 |
6 | 114030442041332 |
7 | 10151025114230 |
oct | 1353347364030 |
9 | 316846236522 |
10 | 100321323032 |
11 | 39600853927 |
12 | 175394a9248 |
13 | 95ca264c08 |
14 | 4bd99c4cc0 |
15 | 292255b6c2 |
hex | 175b9de818 |
100321323032 has 128 divisors (see below), whose sum is σ = 233237283840. Its totient is φ = 39469731840.
The previous prime is 100321323031. The next prime is 100321323059. The reversal of 100321323032 is 230323123001.
It is a junction number, because it is equal to n+sod(n) for n = 100321322995 and 100321323013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100321323031) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42203828 + ... + 42206204.
It is an arithmetic number, because the mean of its divisors is an integer number (1822166280).
Almost surely, 2100321323032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 100321323032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116618641920).
100321323032 is an abundant number, since it is smaller than the sum of its proper divisors (132915960808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100321323032 is a wasteful number, since it uses less digits than its factorization.
100321323032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3481 (or 3477 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 20.
Adding to 100321323032 its reverse (230323123001), we get a palindrome (330644446033).
The spelling of 100321323032 in words is "one hundred billion, three hundred twenty-one million, three hundred twenty-three thousand, thirty-two".
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