Base | Representation |
---|---|
bin | 101111100101110011… |
… | …0100001001011010110 |
3 | 100202210111120000112110 |
4 | 1133023212201023112 |
5 | 3133301212320042 |
6 | 114541115131450 |
7 | 10245420454410 |
oct | 1371346411326 |
9 | 322714500473 |
10 | 102200120022 |
11 | 3a385337910 |
12 | 17982743b86 |
13 | 9839583900 |
14 | 4d3732d9b0 |
15 | 29d247c09c |
hex | 17cb9a12d6 |
102200120022 has 384 divisors, whose sum is σ = 300220535808. Its totient is φ = 22428057600.
The previous prime is 102200120021. The next prime is 102200120027. The reversal of 102200120022 is 220021002201.
It is a super-2 number, since 2×1022001200222 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102200120021) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49110022 + ... + 49112102.
It is an arithmetic number, because the mean of its divisors is an integer number (781824312).
Almost surely, 2102200120022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102200120022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150110267904).
102200120022 is an abundant number, since it is smaller than the sum of its proper divisors (198020415786).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102200120022 is a wasteful number, since it uses less digits than its factorization.
102200120022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2184 (or 2171 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 102200120022 its reverse (220021002201), we get a palindrome (322221122223).
It can be divided in two parts, 102200 and 120022, that added together give a palindrome (222222).
The spelling of 102200120022 in words is "one hundred two billion, two hundred million, one hundred twenty thousand, twenty-two".
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