Base | Representation |
---|---|
bin | 101110101010110110… |
… | …0101011001010110010 |
3 | 100120200122102020121200 |
4 | 1131111230223022302 |
5 | 3120223314203242 |
6 | 114012533432030 |
7 | 10145411063622 |
oct | 1352554531262 |
9 | 316618366550 |
10 | 100222022322 |
11 | 3955a79a824 |
12 | 1751019b616 |
13 | 95b28077b6 |
14 | 4bca736882 |
15 | 291899404c |
hex | 1755b2b2b2 |
100222022322 has 48 divisors (see below), whose sum is σ = 230210702592. Its totient is φ = 31455902880.
The previous prime is 100222022321. The next prime is 100222022323. The reversal of 100222022322 is 223220222001.
100222022322 is a `hidden beast` number, since 100 + 2 + 220 + 22 + 322 = 666.
It is an interprime number because it is at equal distance from previous prime (100222022321) and next prime (100222022323).
It is a super-3 number, since 3×1002220223223 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 = 100222022295 and 100222022304.
It is not an unprimeable number, because it can be changed into a prime (100222022321) 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, 2406508 + ... + 2447799.
It is an arithmetic number, because the mean of its divisors is an integer number (4796056304).
Almost surely, 2100222022322 is an apocalyptic number.
100222022322 is an abundant number, since it is smaller than the sum of its proper divisors (129988680270).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100222022322 is a wasteful number, since it uses less digits than its factorization.
100222022322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4854383 (or 4854380 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 100222022322 its reverse (223220222001), we get a palindrome (323442244323).
The spelling of 100222022322 in words is "one hundred billion, two hundred twenty-two million, twenty-two thousand, three hundred twenty-two".
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