Base | Representation |
---|---|
bin | 11101000101000010… |
… | …010101111110110100 |
3 | 2222120222121102020000 |
4 | 131011002111332310 |
5 | 1002421042411200 |
6 | 22202121311300 |
7 | 2153510143203 |
oct | 350502257664 |
9 | 88528542200 |
10 | 31223013300 |
11 | 12272639026 |
12 | 6074635530 |
13 | 2c378863cb |
14 | 1722a4923a |
15 | c2b1ad300 |
hex | 745095fb4 |
31223013300 has 90 divisors (see below), whose sum is σ = 101212700358. Its totient is φ = 8326134720.
The previous prime is 31223013277. The next prime is 31223013301. The reversal of 31223013300 is 331032213.
31223013300 is a `hidden beast` number, since 31 + 2 + 2 + 301 + 330 + 0 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 144144036 + 31078869264 = 12006^2 + 176292^2 .
It is a tau number, because it is divible by the number of its divisors (90).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31223013301) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1919247 + ... + 1935446.
Almost surely, 231223013300 is an apocalyptic number.
31223013300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
31223013300 is an abundant number, since it is smaller than the sum of its proper divisors (69989687058).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31223013300 is a wasteful number, since it uses less digits than its factorization.
31223013300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3854719 (or 3854703 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 31223013300 its reverse (331032213), we get a palindrome (31554045513).
The spelling of 31223013300 in words is "thirty-one billion, two hundred twenty-three million, thirteen thousand, three hundred".
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