Base | Representation |
---|---|
bin | 1001011111000111001111… |
… | …0010001010010101001010 |
3 | 1100221002222012202212122000 |
4 | 2113301303302022111022 |
5 | 2331341343004432132 |
6 | 34103311000211430 |
7 | 2124360113516346 |
oct | 227616362122512 |
9 | 40832865685560 |
10 | 10430123124042 |
11 | 3361432655356 |
12 | 1205517169b76 |
13 | 5a873050a7cb |
14 | 280b6bc2a626 |
15 | 1314a118687c |
hex | 97c73c8a54a |
10430123124042 has 64 divisors (see below), whose sum is σ = 23409791856000. Its totient is φ = 3441988650240.
The previous prime is 10430123124011. The next prime is 10430123124061. The reversal of 10430123124042 is 24042132103401.
10430123124042 is a `hidden beast` number, since 1 + 0 + 4 + 301 + 2 + 312 + 4 + 0 + 42 = 666.
10430123124042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 10430123123997 and 10430123124015.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8367442 + ... + 9532802.
It is an arithmetic number, because the mean of its divisors is an integer number (365777997750).
Almost surely, 210430123124042 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10430123124042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704895928000).
10430123124042 is an abundant number, since it is smaller than the sum of its proper divisors (12979668731958).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10430123124042 is a wasteful number, since it uses less digits than its factorization.
10430123124042 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1167028 (or 1167022 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 10430123124042 its reverse (24042132103401), we get a palindrome (34472255227443).
The spelling of 10430123124042 in words is "ten trillion, four hundred thirty billion, one hundred twenty-three million, one hundred twenty-four thousand, forty-two".
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