Base | Representation |
---|---|
bin | 11100000010010001001100… |
… | …010110100000110000011001 |
3 | 121011120110221202221111212220 |
4 | 130002101030112200300121 |
5 | 112130131330214301241 |
6 | 1114123442410454253 |
7 | 34654134506112204 |
oct | 3402211426406031 |
9 | 534513852844786 |
10 | 123301202103321 |
11 | 3631882314a200 |
12 | 119b4723134389 |
13 | 53a533ab380c8 |
14 | 2263b4a9c493b |
15 | e3c531d5c166 |
hex | 70244c5a0c19 |
123301202103321 has 48 divisors (see below), whose sum is σ = 182505910206144. Its totient is φ = 73983721680000.
The previous prime is 123301202103251. The next prime is 123301202103323.
123301202103321 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 123301202103321 - 29 = 123301202102809 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 123301202103291 and 123301202103300.
It is not an unprimeable number, because it can be changed into a prime (123301202103323) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679677990 + ... + 679859376.
It is an arithmetic number, because the mean of its divisors is an integer number (3802206462628).
Almost surely, 2123301202103321 is an apocalyptic number.
123301202103321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
123301202103321 is a deficient number, since it is larger than the sum of its proper divisors (59204708102823).
123301202103321 is a wasteful number, since it uses less digits than its factorization.
123301202103321 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 200054 (or 200043 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 24.
It can be divided in two parts, 12330120 and 2103321, that added together give a palindrome (14433441).
The spelling of 123301202103321 in words is "one hundred twenty-three trillion, three hundred one billion, two hundred two million, one hundred three thousand, three hundred twenty-one".
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