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102021210222012 = 2236166720987821
BaseRepresentation
bin10111001100100110101001…
…111111101010110110111100
3111101020010120112221022000000
4113030212221333222312330
5101333003414304101022
61000551521424234300
730326534460435264
oct2714465177526674
9441203515838000
10102021210222012
112a563a52534764
12b538488a6b990
1344c0735a18033
141b29bd25b87a4
15bbdc148c26ac
hex5cc9a9feadbc

102021210222012 has 84 divisors (see below), whose sum is σ = 267843813971496. Its totient is φ = 33986668292640.

The previous prime is 102021210221939. The next prime is 102021210222013. The reversal of 102021210222012 is 210222012120201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021210222013) 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 27 ways as a sum of consecutive naturals, for example, 5632939 + ... + 15354882.

It is an arithmetic number, because the mean of its divisors is an integer number (3188616832994).

Almost surely, 2102021210222012 is an apocalyptic number.

102021210222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102021210222012 is an abundant number, since it is smaller than the sum of its proper divisors (165822603749484).

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

102021210222012 is a wasteful number, since it uses less digits than its factorization.

102021210222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20989510 (or 20989493 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102021210222012 its reverse (210222012120201), we get a palindrome (312243222342213).

The spelling of 102021210222012 in words is "one hundred two trillion, twenty-one billion, two hundred ten million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1667 2916 3334 5001 6668 10002 15003 20004 30006 45009 60012 90018 135027 180036 270054 405081 540108 810162 1215243 1620324 2430486 4860972 20987821 41975642 62963463 83951284 125926926 188890389 251853852 377780778 566671167 755561556 1133342334 1700013501 2266684668 3400027002 5100040503 6800054004 10200081006 15300121509 20400162012 30600243018 34986697607 61200486036 69973395214 104960092821 139946790428 209920185642 314880278463 419840371284 629760556926 944640835389 1259521113852 1889281670778 2833922506167 3778563341556 5667845012334 8501767518501 11335690024668 17003535037002 25505302555503 34007070074004 51010605111006 102021210222012