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102010110010010 = 25619291621111049
BaseRepresentation
bin10111001100011100010100…
…010111101110001010011010
3111101012001220221221002201222
4113030130110113232022122
5101332313201130310020
61000542444140212042
730325662423255206
oct2714342427561232
9441161827832658
10102010110010010
112a55a276780134
12b5362ab53a022
1344bc687104557
141b2945c29db06
15bbd7b513ab25
hex5cc7145ee29a

102010110010010 has 64 divisors (see below), whose sum is σ = 186946163028000. Its totient is φ = 40066829107200.

The previous prime is 102010110009959. The next prime is 102010110010013. The reversal of 102010110010010 is 10010011010201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 273172430281 + 101736937579729 = 522659^2 + 10086473^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102010110010010.

It is not an unprimeable number, because it can be changed into a prime (102010110010013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918548966 + ... + 918660014.

Almost surely, 2102010110010010 is an apocalyptic number.

102010110010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102010110010010 is a deficient number, since it is larger than the sum of its proper divisors (84936053017990).

102010110010010 is a wasteful number, since it uses less digits than its factorization.

102010110010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113667.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 102010110010010 its reverse (10010011010201), we get a palindrome (112020121020211).

The spelling of 102010110010010 in words is "one hundred two trillion, ten billion, one hundred ten million, ten thousand, ten".

Divisors: 1 2 5 10 61 122 305 610 929 1621 1858 3242 4645 8105 9290 16210 56669 98881 111049 113338 197762 222098 283345 494405 555245 566690 988810 1110490 1505909 3011818 6773989 7529545 13547978 15059090 33869945 67739890 91860449 103164521 180010429 183720898 206329042 360020858 459302245 515822605 900052145 918604490 1031645210 1800104290 6293035781 10980636169 12586071562 21961272338 31465178905 54903180845 62930357810 109806361690 167229688541 334459377082 836148442705 1672296885410 10201011001001 20402022002002 51005055005005 102010110010010