Base | Representation |
---|---|
bin | 11110111000010001101… |
… | …001101111101010001010 |
3 | 21111212021112012001010100 |
4 | 132320101221233222022 |
5 | 234231334030000020 |
6 | 4302500554430230 |
7 | 306211246251555 |
oct | 36702151575212 |
9 | 7455245161110 |
10 | 2122010000010 |
11 | 748a3736273a |
12 | 2a3314a32376 |
13 | 125148cb7654 |
14 | 749c4b3569c |
15 | 3a2e966da90 |
hex | 1ee11a6fa8a |
2122010000010 has 48 divisors (see below), whose sum is σ = 5517304772616. Its totient is φ = 565861254144.
The previous prime is 2122009999997. The next prime is 2122010000081. The reversal of 2122010000010 is 100000102212.
It can be written as a sum of positive squares in 4 ways, for example, as 1050356467161 + 1071653532849 = 1024869^2 + 1035207^2 .
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 = 2122009999947 and 2122010000001.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8825302 + ... + 9062558.
Almost surely, 22122010000010 is an apocalyptic number.
2122010000010 is an abundant number, since it is smaller than the sum of its proper divisors (3395294772606).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122010000010 is a wasteful number, since it uses less digits than its factorization.
2122010000010 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 336647 (or 336644 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 2122010000010 its reverse (100000102212), we get a palindrome (2222010102222).
The spelling of 2122010000010 in words is "two trillion, one hundred twenty-two billion, ten million, ten", and thus it is an aban number.
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