Base | Representation |
---|---|
bin | 111001011000000100… |
… | …1101110001000000000 |
3 | 102210001000200012020200 |
4 | 1302300021232020000 |
5 | 4004320343010103 |
6 | 132334240405200 |
7 | 11621240211441 |
oct | 1626011561000 |
9 | 383030605220 |
10 | 123214422528 |
11 | 4828936936a |
12 | 1ba68316800 |
13 | b808135732 |
14 | 5d6c2072c8 |
15 | 33122a20a3 |
hex | 1cb026e200 |
123214422528 has 90 divisors (see below), whose sum is σ = 355673948487. Its totient is φ = 41063531520.
The previous prime is 123214422511. The next prime is 123214422547. The reversal of 123214422528 is 825224412321.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
123214422528 is a `hidden beast` number, since 12 + 3 + 214 + 422 + 5 + 2 + 8 = 666.
It can be written as a sum of positive squares in only one way, i.e., 61607211264 + 61607211264 = 248208^2 + 248208^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=248208.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 123214422492 and 123214422501.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23825383 + ... + 23830553.
Almost surely, 2123214422528 is an apocalyptic number.
123214422528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 123214422528
123214422528 is an abundant number, since it is smaller than the sum of its proper divisors (232459525959).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123214422528 is an frugal number, since it uses more digits than its factorization.
123214422528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10366 (or 5176 counting only the distinct ones).
The product of its digits is 61440, while the sum is 36.
Adding to 123214422528 its reverse (825224412321), we get a palindrome (948438834849).
The spelling of 123214422528 in words is "one hundred twenty-three billion, two hundred fourteen million, four hundred twenty-two thousand, five hundred twenty-eight".
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