Base | Representation |
---|---|
bin | 1000010011111100… |
… | …0011010011100000 |
3 | 12202111020200210120 |
4 | 2010333003103200 |
5 | 14032131333440 |
6 | 1005220400240 |
7 | 106201134204 |
oct | 20477032340 |
9 | 5674220716 |
10 | 2231121120 |
11 | a45456358 |
12 | 523246080 |
13 | 297309a17 |
14 | 17245cb04 |
15 | d0d17dd0 |
hex | 84fc34e0 |
2231121120 has 48 divisors (see below), whose sum is σ = 7028033040. Its totient is φ = 594965504.
The previous prime is 2231121107. The next prime is 2231121121. The reversal of 2231121120 is 211211322.
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-3 number, since 3×22311211203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2231121120.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2231121121) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2323605 + ... + 2324564.
It is an arithmetic number, because the mean of its divisors is an integer number (146417355).
Almost surely, 22231121120 is an apocalyptic number.
2231121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2231121120 is an abundant number, since it is smaller than the sum of its proper divisors (4796911920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231121120 is a wasteful number, since it uses less digits than its factorization.
2231121120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4648187 (or 4648179 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 2231121120 is about 47234.7448389424. The cubic root of 2231121120 is about 1306.6954607473.
Adding to 2231121120 its reverse (211211322), we get a palindrome (2442332442).
The spelling of 2231121120 in words is "two billion, two hundred thirty-one million, one hundred twenty-one thousand, one hundred twenty".
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