Base | Representation |
---|---|
bin | 10110101111010111101000… |
… | …010100101010111011111110 |
3 | 111010010001222221212210022100 |
4 | 112233113220110222323332 |
5 | 101102100002033021342 |
6 | 552412550415325530 |
7 | 30031433553614340 |
oct | 2657275024527376 |
9 | 433101887783270 |
10 | 100012211220222 |
11 | 29959a38a14714 |
12 | b2730532208a6 |
13 | 43a6159c92b42 |
14 | 1a9a88c8d3290 |
15 | b86831863e4c |
hex | 5af5e852aefe |
100012211220222 has 192 divisors, whose sum is σ = 264165905203200. Its totient is φ = 26709810004800.
The previous prime is 100012211220211. The next prime is 100012211220227. The reversal of 100012211220222 is 222022112210001.
It is a happy number.
100012211220222 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 221 + 1 + 220 + 222 = 666.
100012211220222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 = 100012211220195 and 100012211220204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100012211220227) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274239603 + ... + 274604049.
It is an arithmetic number, because the mean of its divisors is an integer number (1375864089600).
Almost surely, 2100012211220222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 100012211220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132082952601600).
100012211220222 is an abundant number, since it is smaller than the sum of its proper divisors (164153693982978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100012211220222 is a wasteful number, since it uses less digits than its factorization.
100012211220222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 366011 (or 366008 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 100012211220222 its reverse (222022112210001), we get a palindrome (322034323430223).
The spelling of 100012211220222 in words is "one hundred trillion, twelve billion, two hundred eleven million, two hundred twenty thousand, two hundred twenty-two".
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