Base | Representation |
---|---|
bin | 101110100111110111… |
… | …1111101101100001010 |
3 | 100120102200121211101100 |
4 | 1131033233331230022 |
5 | 3120022242040242 |
6 | 113555010402230 |
7 | 10143056560614 |
oct | 1351757755412 |
9 | 316380554340 |
10 | 100122221322 |
11 | 39509424862 |
12 | 174a2890376 |
13 | 9597c33756 |
14 | 4bbb397db4 |
15 | 290ed2d54c |
hex | 174fbfdb0a |
100122221322 has 48 divisors (see below), whose sum is σ = 220192181352. Its totient is φ = 32875785600.
The previous prime is 100122221321. The next prime is 100122221323. The reversal of 100122221322 is 223122221001.
100122221322 is a `hidden beast` number, since 1 + 0 + 0 + 122 + 221 + 322 = 666.
It is an interprime number because it is at equal distance from previous prime (100122221321) and next prime (100122221323).
It can be written as a sum of positive squares in 4 ways, for example, as 99540881001 + 581340321 = 315501^2 + 24111^2 .
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 = 100122221295 and 100122221304.
It is not an unprimeable number, because it can be changed into a prime (100122221321) 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, 218368 + ... + 497924.
Almost surely, 2100122221322 is an apocalyptic number.
100122221322 is an abundant number, since it is smaller than the sum of its proper divisors (120069960030).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100122221322 is a wasteful number, since it uses less digits than its factorization.
100122221322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 279863 (or 279860 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 100122221322 its reverse (223122221001), we get a palindrome (323244442323).
The spelling of 100122221322 in words is "one hundred billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred twenty-two".
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