Base | Representation |
---|---|
bin | 110000010000000100000011… |
… | …101100000100011011110100 |
3 | 1000211101002100210211102200200 |
4 | 300100010003230010123310 |
5 | 210303322241324342322 |
6 | 2031155550301240500 |
7 | 62461450062425322 |
oct | 6020040354043364 |
9 | 1024332323742620 |
10 | 212210101012212 |
11 | 61686886796326 |
12 | 1b9738a5563130 |
13 | 9154432894524 |
14 | 3a5904901cd12 |
15 | 19801120e68ac |
hex | c10103b046f4 |
212210101012212 has 18 divisors (see below), whose sum is σ = 536419977558738. Its totient is φ = 70736700337392.
The previous prime is 212210101012159. The next prime is 212210101012219.
212210101012212 is a `hidden beast` number, since 212 + 210 + 10 + 10 + 1 + 221 + 2 = 666.
212210101012212 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in only one way, i.e., 140980619672676 + 71229481339536 = 11873526^2 + 8439756^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a super-2 number, since 2×2122101010122122 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212210101012219) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2947362514023 + ... + 2947362514094.
Almost surely, 2212210101012212 is an apocalyptic number.
It is an amenable number.
212210101012212 is an abundant number, since it is smaller than the sum of its proper divisors (324209876546526).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212210101012212 is a wasteful number, since it uses less digits than its factorization.
212210101012212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5894725028127 (or 5894725028122 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
It can be divided in two parts, 21221010 and 1012212, that added together give a palindrome (22233222).
The spelling of 212210101012212 in words is "two hundred twelve trillion, two hundred ten billion, one hundred one million, twelve thousand, two hundred twelve".
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