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102021100030212 = 223114143954177927
BaseRepresentation
bin10111001100100110100011…
…011011010100100100000100
3111101020010021212120222021020
4113030212203123110210010
5101333003203101431322
61000551502450351140
730326531652014346
oct2714464333244404
9441203255528236
10102021100030212
112a5639a6311a60
12b538457b8b4b0
1344c0718c4659c
141b29bc1ad3296
15bbdc09da805c
hex5cc9a36d4904

102021100030212 has 192 divisors, whose sum is σ = 266712817029120. Its totient is φ = 30083392972800.

The previous prime is 102021100030183. The next prime is 102021100030243. The reversal of 102021100030212 is 212030001120201.

102021100030212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102021100030191 and 102021100030200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12870072993 + ... + 12870080919.

It is an arithmetic number, because the mean of its divisors is an integer number (1389129255360).

Almost surely, 2102021100030212 is an apocalyptic number.

102021100030212 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 102021100030212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133356408514560).

102021100030212 is an abundant number, since it is smaller than the sum of its proper divisors (164691716998908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102021100030212 is a wasteful number, since it uses less digits than its factorization.

102021100030212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13842 (or 13840 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102021100030212 its reverse (212030001120201), we get a palindrome (314051101150413).

The spelling of 102021100030212 in words is "one hundred two trillion, twenty-one billion, one hundred million, thirty thousand, two hundred twelve".