Base | Representation |
---|---|
bin | 10010111001010010… |
… | …01000101101000100 |
3 | 222011222010212112200 |
4 | 21130221020231010 |
5 | 131233410101040 |
6 | 4354333514500 |
7 | 506245315212 |
oct | 113451105504 |
9 | 28158125480 |
10 | 10144222020 |
11 | 4336170169 |
12 | 1b71342a30 |
13 | c5884544a |
14 | 6c3385cb2 |
15 | 3e589a630 |
hex | 25ca48b44 |
10144222020 has 144 divisors (see below), whose sum is σ = 31565806272. Its totient is φ = 2635557120.
The previous prime is 10144222019. The next prime is 10144222021. The reversal of 10144222020 is 2022244101.
10144222020 is a `hidden beast` number, since 1 + 0 + 1 + 442 + 220 + 2 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (10144222019) and next prime (10144222021).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10144221984 and 10144222002.
It is not an unprimeable number, because it can be changed into a prime (10144222021) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3566719 + ... + 3569561.
It is an arithmetic number, because the mean of its divisors is an integer number (219206988).
Almost surely, 210144222020 is an apocalyptic number.
10144222020 is a gapful number since it is divisible by the number (10) 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 10144222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15782903136).
10144222020 is an abundant number, since it is smaller than the sum of its proper divisors (21421584252).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10144222020 is a wasteful number, since it uses less digits than its factorization.
10144222020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3362 (or 3357 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 10144222020 its reverse (2022244101), we get a palindrome (12166466121).
The spelling of 10144222020 in words is "ten billion, one hundred forty-four million, two hundred twenty-two thousand, twenty".
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