Base | Representation |
---|---|
bin | 111001010001101111… |
… | …1011110110011010000 |
3 | 102202111020000012000221 |
4 | 1302203133132303100 |
5 | 4003402004214440 |
6 | 132301212122424 |
7 | 11613050642254 |
oct | 1624337366320 |
9 | 382436005027 |
10 | 123002023120 |
11 | 4818a487569 |
12 | 1ba09166414 |
13 | b7a3129702 |
14 | 5d4bd18264 |
15 | 32ed7e8d4a |
hex | 1ca37decd0 |
123002023120 has 40 divisors (see below), whose sum is σ = 286357625064. Its totient is φ = 49135790592.
The previous prime is 123002023051. The next prime is 123002023121. The reversal of 123002023120 is 21320200321.
It can be written as a sum of positive squares in 4 ways, for example, as 41895539856 + 81106483264 = 204684^2 + 284792^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-2 number, since 2×1230020231202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 123002023094 and 123002023103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123002023121) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 954979 + ... + 1076098.
Almost surely, 2123002023120 is an apocalyptic number.
123002023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
123002023120 is an abundant number, since it is smaller than the sum of its proper divisors (163355601944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123002023120 is a wasteful number, since it uses less digits than its factorization.
123002023120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2031847 (or 2031841 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
Adding to 123002023120 its reverse (21320200321), we get a palindrome (144322223441).
The spelling of 123002023120 in words is "one hundred twenty-three billion, two million, twenty-three thousand, one hundred twenty".
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