Base | Representation |
---|---|
bin | 101110101010100011… |
… | …1101101001001110010 |
3 | 100120122222011212210100 |
4 | 1131111013231021302 |
5 | 3120213324043442 |
6 | 114011550013230 |
7 | 10145232521451 |
oct | 1352507551162 |
9 | 316588155710 |
10 | 100212331122 |
11 | 39555280672 |
12 | 17508aa7216 |
13 | 95b07c3667 |
14 | 4bc9332b98 |
15 | 2917bcc84c |
hex | 17551ed272 |
100212331122 has 48 divisors (see below), whose sum is σ = 218705497920. Its totient is φ = 33161508000.
The previous prime is 100212331117. The next prime is 100212331129. The reversal of 100212331122 is 221133212001.
100212331122 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 331 + 122 = 666.
It is a super-2 number, since 2×1002123311222 (a number of 23 digits) contains 22 as substring.
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 = 100212331095 and 100212331104.
It is not an unprimeable number, because it can be changed into a prime (100212331129) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4525297 + ... + 4547387.
It is an arithmetic number, because the mean of its divisors is an integer number (4556364540).
Almost surely, 2100212331122 is an apocalyptic number.
100212331122 is an abundant number, since it is smaller than the sum of its proper divisors (118493166798).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100212331122 is a wasteful number, since it uses less digits than its factorization.
100212331122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 23919 (or 23916 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 100212331122 its reverse (221133212001), we get a palindrome (321345543123).
The spelling of 100212331122 in words is "one hundred billion, two hundred twelve million, three hundred thirty-one thousand, one hundred twenty-two".
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