Base | Representation |
---|---|
bin | 101111100010111000… |
… | …1000001010111011100 |
3 | 100202112200022200020210 |
4 | 1133011301001113130 |
5 | 3133101131210022 |
6 | 114523300412420 |
7 | 10243121315445 |
oct | 1370561012734 |
9 | 322480280223 |
10 | 102102210012 |
11 | 3a335043650 |
12 | 179559a7110 |
13 | 98221c24aa |
14 | 4d283242cc |
15 | 29c8a8ba0c |
hex | 17c5c415dc |
102102210012 has 96 divisors (see below), whose sum is σ = 261384044544. Its totient is φ = 30763339200.
The previous prime is 102102209971. The next prime is 102102210017. The reversal of 102102210012 is 210012201201.
It is a super-2 number, since 2×1021022100122 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 102102210012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102102210017) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31995337 + ... + 31998527.
It is an arithmetic number, because the mean of its divisors is an integer number (2722750464).
Almost surely, 2102102210012 is an apocalyptic number.
102102210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102102210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130692022272).
102102210012 is an abundant number, since it is smaller than the sum of its proper divisors (159281834532).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102102210012 is a wasteful number, since it uses less digits than its factorization.
102102210012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4519 (or 4517 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 102102210012 its reverse (210012201201), we get a palindrome (312114411213).
It can be divided in two parts, 10210 and 2210012, that added together give a palindrome (2220222).
The spelling of 102102210012 in words is "one hundred two billion, one hundred two million, two hundred ten thousand, twelve".
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