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102121000010 = 25671013474349
BaseRepresentation
bin101111100011011100…
…0101100110001001010
3100202120222200022021122
41133012320230301022
53133120434000020
6114525211235242
710243440115001
oct1370670546112
9322528608248
10102121000010
113a344707877
1217960148b22
139826070c33
144d2aa15c38
1529ca54e125
hex17c6e2cc4a

102121000010 has 64 divisors (see below), whose sum is σ = 188994902400. Its totient is φ = 39716371200.

The previous prime is 102120999989. The next prime is 102121000019. The reversal of 102121000010 is 10000121201.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102121000019) 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, 23479316 + ... + 23483664.

It is an arithmetic number, because the mean of its divisors is an integer number (2953045350).

Almost surely, 2102121000010 is an apocalyptic number.

102121000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102121000010 is a deficient number, since it is larger than the sum of its proper divisors (86873902390).

102121000010 is a wasteful number, since it uses less digits than its factorization.

102121000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102121000010 its reverse (10000121201), we get a palindrome (112121121211).

The spelling of 102121000010 in words is "one hundred two billion, one hundred twenty-one million, ten", and thus it is an aban number.

Divisors: 1 2 5 10 67 101 134 202 335 347 505 670 694 1010 1735 3470 4349 6767 8698 13534 21745 23249 33835 35047 43490 46498 67670 70094 116245 175235 232490 291383 350470 439249 582766 878498 1456915 1509103 2196245 2348149 2913830 3018206 4392490 4696298 7545515 11740745 15091030 23481490 29429683 58859366 101109901 147148415 152419403 202219802 294296830 304838806 505549505 762097015 1011099010 1524194030 10212100001 20424200002 51060500005 102121000010