Base | Representation |
---|---|
bin | 1100001100101… |
… | …00101111100000 |
3 | 21010112110012010 |
4 | 12012110233200 |
5 | 202143233440 |
6 | 14053032520 |
7 | 2351500206 |
oct | 606245740 |
9 | 233473163 |
10 | 102321120 |
11 | 52837410 |
12 | 2a325740 |
13 | 18277155 |
14 | d837076 |
15 | 8eb2580 |
hex | 6194be0 |
102321120 has 96 divisors (see below), whose sum is σ = 351630720. Its totient is φ = 24803840.
The previous prime is 102321119. The next prime is 102321133. The reversal of 102321120 is 21123201.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1023211202 = 20939223196108800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 102321096 and 102321105.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4410 + ... + 14969.
It is an arithmetic number, because the mean of its divisors is an integer number (3662820).
Almost surely, 2102321120 is an apocalyptic number.
102321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
102321120 is an abundant number, since it is smaller than the sum of its proper divisors (249309600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102321120 is a wasteful number, since it uses less digits than its factorization.
102321120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19408 (or 19400 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 102321120 is about 10115.3902544588. The cubic root of 102321120 is about 467.7226788600.
Adding to 102321120 its reverse (21123201), we get a palindrome (123444321).
The spelling of 102321120 in words is "one hundred two million, three hundred twenty-one thousand, one hundred twenty".
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