| Base | Representation |
|---|---|
| bin | 11101000101001111… |
| … | …010110101100100100 |
| 3 | 2222121020000200221221 |
| 4 | 131011033112230210 |
| 5 | 1002422431032400 |
| 6 | 22202322350124 |
| 7 | 2153551140214 |
| oct | 350517265444 |
| 9 | 88536020857 |
| 10 | 31226424100 |
| 11 | 12274558673 |
| 12 | 60757bb344 |
| 13 | 2c384aba31 |
| 14 | 1723296244 |
| 15 | c2b633c1a |
| hex | 7453d6b24 |
31226424100 has 81 divisors (see below), whose sum is σ = 69615886963. Its totient is φ = 12157648000.
The previous prime is 31226424083. The next prime is 31226424101. The reversal of 31226424100 is 142462213.
It is a happy number.
The square root of 31226424100 is 176710.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 13143705316 + 18082718784 = 114646^2 + 134472^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (31226424101) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72450885 + ... + 72451315.
Almost surely, 231226424100 is an apocalyptic number.
31226424100 is the 176710-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 31226424100
31226424100 is an abundant number, since it is smaller than the sum of its proper divisors (38389462863).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31226424100 is an equidigital number, since it uses as much as digits as its factorization.
31226424100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 958 (or 479 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 25.
Multiplying 31226424100 by its sum of digits (25), we get a square (780660602500 = 8835502).
31226424100 divided by its sum of digits (25) gives a square (1249056964 = 353422).
Multiplying 31226424100 by its product of nonzero digits (2304), we get a square (71945681126400 = 84820802).
Adding to 31226424100 its reverse (142462213), we get a palindrome (31368886313).
The spelling of 31226424100 in words is "thirty-one billion, two hundred twenty-six million, four hundred twenty-four thousand, one hundred".
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