Base | Representation |
---|---|
bin | 11100111111000101… |
… | …111110101011101010 |
3 | 2222100000222121121100 |
4 | 130333011332223222 |
5 | 1002220031200041 |
6 | 22144200222230 |
7 | 2151156466065 |
oct | 347705765352 |
9 | 88300877540 |
10 | 31123303146 |
11 | 12221325341 |
12 | 604716a976 |
13 | 2c20014810 |
14 | 17136d18dc |
15 | c225646b6 |
hex | 73f17eaea |
31123303146 has 96 divisors (see below), whose sum is σ = 77045583888. Its totient is φ = 8995184640.
The previous prime is 31123303109. The next prime is 31123303147. The reversal of 31123303146 is 64130332113.
31123303146 is a `hidden beast` number, since 3 + 1 + 12 + 330 + 314 + 6 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 8385980625 + 22737322521 = 91575^2 + 150789^2 .
It is not an unprimeable number, because it can be changed into a prime (31123303147) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2065030 + ... + 2080046.
Almost surely, 231123303146 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 31123303146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38522791944).
31123303146 is an abundant number, since it is smaller than the sum of its proper divisors (45922280742).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31123303146 is a wasteful number, since it uses less digits than its factorization.
31123303146 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15576 (or 15573 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
Adding to 31123303146 its reverse (64130332113), we get a palindrome (95253635259).
The spelling of 31123303146 in words is "thirty-one billion, one hundred twenty-three million, three hundred three thousand, one hundred forty-six".
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