| Base | Representation |
|---|---|
| bin | 10010110100001001… |
| … | …01010001101100000 |
| 3 | 222001222000022210200 |
| 4 | 21122010222031200 |
| 5 | 131141340334004 |
| 6 | 4350153425200 |
| 7 | 505212660120 |
| oct | 113204521540 |
| 9 | 28058008720 |
| 10 | 10101105504 |
| 11 | 43138a1086 |
| 12 | 1b5aa0b200 |
| 13 | c4c92a209 |
| 14 | 6bb760c80 |
| 15 | 3e1bd0239 |
| hex | 25a12a360 |
10101105504 has 144 divisors (see below), whose sum is σ = 32883151392. Its totient is φ = 2881234944.
The previous prime is 10101105491. The next prime is 10101105517. The reversal of 10101105504 is 40550110101.
It is a happy number.
10101105504 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 110 + 550 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (10101105491) and next prime (10101105517).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1312612 + ... + 1320284.
It is an arithmetic number, because the mean of its divisors is an integer number (228355218).
Almost surely, 210101105504 is an apocalyptic number.
10101105504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10101105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16441575696).
10101105504 is an abundant number, since it is smaller than the sum of its proper divisors (22782045888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10101105504 is a wasteful number, since it uses less digits than its factorization.
10101105504 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8349 (or 8338 counting only the distinct ones).
The product of its (nonzero) digits is 100, while the sum is 18.
Adding to 10101105504 its reverse (40550110101), we get a palindrome (50651215605).
The spelling of 10101105504 in words is "ten billion, one hundred one million, one hundred five thousand, five hundred four".
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