Base | Representation |
---|---|
bin | 100110100010… |
… | …000110000000 |
3 | 201000012010120 |
4 | 212202012000 |
5 | 10041213440 |
6 | 1000300240 |
7 | 151600221 |
oct | 46420600 |
9 | 21005116 |
10 | 10101120 |
11 | 577a137 |
12 | 3471680 |
13 | 21288c3 |
14 | 14ad248 |
15 | d47dd0 |
hex | 9a2180 |
10101120 has 64 divisors (see below), whose sum is σ = 32203440. Its totient is φ = 2693120.
The previous prime is 10101109. The next prime is 10101137. The reversal of 10101120 is 2110101.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a junction number, because it is equal to n+sod(n) for n = 10101099 and 10101108.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 711 + ... + 4550.
Almost surely, 210101120 is an apocalyptic number.
10101120 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 10101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16101720).
10101120 is an abundant number, since it is smaller than the sum of its proper divisors (22102320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10101120 is an equidigital number, since it uses as much as digits as its factorization.
10101120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5283 (or 5271 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
The square root of 10101120 is about 3178.2259202266. The cubic root of 10101120 is about 216.1672230435.
Adding to 10101120 its reverse (2110101), we get a palindrome (12211221).
The spelling of 10101120 in words is "ten million, one hundred one thousand, one hundred twenty".
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