| Base | Representation |
|---|---|
| bin | 101111001000101011… |
| … | …1001011110110111101 |
| 3 | 100200021101222022001022 |
| 4 | 1132101113023312331 |
| 5 | 3124301043201023 |
| 6 | 114300132353525 |
| 7 | 10212254330231 |
| oct | 1362127136675 |
| 9 | 320241868038 |
| 10 | 101223022013 |
| 11 | 39a238366a3 |
| 12 | 1774b4758a5 |
| 13 | 97120049c9 |
| 14 | 4c836645c1 |
| 15 | 29767c17c8 |
| hex | 17915cbdbd |
101223022013 has 4 divisors (see below), whose sum is σ = 101223987420. Its totient is φ = 101222056608.
The previous prime is 101223022001. The next prime is 101223022037. The reversal of 101223022013 is 310220322101.
It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 310220322101 = 641 ⋅483963061.
It can be written as a sum of positive squares in 2 ways, for example, as 56593079449 + 44629942564 = 237893^2 + 211258^2 .
It is a cyclic number.
It is not a de Polignac number, because 101223022013 - 226 = 101155913149 is a prime.
It is a super-2 number, since 2×1012230220132 (a number of 23 digits) contains 22 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 101223021982 and 101223022000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101223022913) 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 3 ways as a sum of consecutive naturals, for example, 303170 + ... + 542547.
It is an arithmetic number, because the mean of its divisors is an integer number (25305996855).
Almost surely, 2101223022013 is an apocalyptic number.
It is an amenable number.
101223022013 is a deficient number, since it is larger than the sum of its proper divisors (965407).
101223022013 is an equidigital number, since it uses as much as digits as its factorization.
101223022013 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 965406.
The product of its (nonzero) digits is 144, while the sum is 17.
Adding to 101223022013 its reverse (310220322101), we get a palindrome (411443344114).
The spelling of 101223022013 in words is "one hundred one billion, two hundred twenty-three million, twenty-two thousand, thirteen".
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