Base | Representation |
---|---|
bin | 11101000110101011110… |
… | …01011000000000010100 |
3 | 10112121020011221100100200 |
4 | 32203111321120000110 |
5 | 112341020334001322 |
6 | 2043223040340500 |
7 | 132151311152103 |
oct | 16432571300024 |
9 | 3477204840320 |
10 | 1000021000212 |
11 | 356119869743 |
12 | 141989014730 |
13 | 733bc73c2c0 |
14 | 3658915203a |
15 | 1b02d5138ac |
hex | e8d5e58014 |
1000021000212 has 36 divisors (see below), whose sum is σ = 2722279390740. Its totient is φ = 307698769152.
The previous prime is 1000021000207. The next prime is 1000021000219. The reversal of 1000021000212 is 2120001200001.
It can be written as a sum of positive squares in 2 ways, for example, as 73010201616 + 927010798596 = 270204^2 + 962814^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1000021000194 and 1000021000203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1000021000219) 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 11 ways as a sum of consecutive naturals, for example, 1068398037 + ... + 1068398972.
It is an arithmetic number, because the mean of its divisors is an integer number (75618871965).
Almost surely, 21000021000212 is an apocalyptic number.
1000021000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
1000021000212 is an abundant number, since it is smaller than the sum of its proper divisors (1722258390528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000021000212 is a wasteful number, since it uses less digits than its factorization.
1000021000212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2136797032 (or 2136797027 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 1000021000212 its reverse (2120001200001), we get a palindrome (3120022200213).
The spelling of 1000021000212 in words is "one trillion, twenty-one million, two hundred twelve", and thus it is an aban number.
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