Base | Representation |
---|---|
bin | 101110101011000110… |
… | …0101001001001000000 |
3 | 100120201020012000020020 |
4 | 1131112030221021000 |
5 | 3120232440340444 |
6 | 114013433213440 |
7 | 10145542236162 |
oct | 1352614511100 |
9 | 316636160206 |
10 | 100230402624 |
11 | 395644a3aa0 |
12 | 17512b61280 |
13 | 95b4480061 |
14 | 4bcb8b8932 |
15 | 291959c119 |
hex | 1756329240 |
100230402624 has 112 divisors (see below), whose sum is σ = 292166381376. Its totient is φ = 30072064000.
The previous prime is 100230402619. The next prime is 100230402659. The reversal of 100230402624 is 426204032001.
It is a super-2 number, since 2×1002304026242 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 100230402594 and 100230402603.
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, 21627 + ... + 448250.
Almost surely, 2100230402624 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 100230402624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146083190688).
100230402624 is an abundant number, since it is smaller than the sum of its proper divisors (191935978752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100230402624 is a wasteful number, since it uses less digits than its factorization.
100230402624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 470004 (or 469994 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 100230402624 its reverse (426204032001), we get a palindrome (526434434625).
The spelling of 100230402624 in words is "one hundred billion, two hundred thirty million, four hundred two thousand, six hundred twenty-four".
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