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102120002012 = 227193531731
BaseRepresentation
bin101111100011011010…
…0111001000111011100
3100202120220210121021202
41133012310321013130
53133120210031022
6114525134015032
710243425460250
oct1370664710734
9322526717252
10102120002012
113a344095a86
121795b947478
139825ab18c2
144d2a836260
1529ca403592
hex17c6d391dc

102120002012 has 48 divisors (see below), whose sum is σ = 215585422080. Its totient is φ = 41462178480.

The previous prime is 102120002011. The next prime is 102120002051. The reversal of 102120002012 is 210200021201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102120001984 and 102120002002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120002011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73814 + ... + 457917.

It is an arithmetic number, because the mean of its divisors is an integer number (4491362960).

Almost surely, 2102120002012 is an apocalyptic number.

It is an amenable number.

102120002012 is an abundant number, since it is smaller than the sum of its proper divisors (113465420068).

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

102120002012 is an equidigital number, since it uses as much as digits as its factorization.

102120002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531799 (or 531759 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102120002012 its reverse (210200021201), we get a palindrome (312320023213).

The spelling of 102120002012 in words is "one hundred two billion, one hundred twenty million, two thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 361 532 722 1444 2527 5054 6859 10108 13718 27436 48013 96026 192052 531731 1063462 2126924 3722117 7444234 10102889 14888468 20205778 40411556 70720223 141440446 191954891 282880892 383909782 767819564 1343684237 2687368474 3647142929 5374736948 7294285858 14588571716 25530000503 51060001006 102120002012