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102002103210 = 2357971500231
BaseRepresentation
bin101111011111111001…
…1001001001110101010
3100202021200221201112110
41132333303021032222
53132400014300320
6114505323023150
710240464400050
oct1367763111652
9322250851473
10102002103210
113a293589957
121792836aab6
1398075421b7
144d18d061d0
1529bedb55e0
hex17bfcc93aa

102002103210 has 64 divisors (see below), whose sum is σ = 280065890304. Its totient is φ = 23290708800.

The previous prime is 102002103197. The next prime is 102002103241. The reversal of 102002103210 is 12301200201.

102002103210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46206 + ... + 454025.

It is an arithmetic number, because the mean of its divisors is an integer number (4376029536).

Almost surely, 2102002103210 is an apocalyptic number.

102002103210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102002103210 is an abundant number, since it is smaller than the sum of its proper divisors (178063787094).

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

102002103210 is a wasteful number, since it uses less digits than its factorization.

102002103210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501219.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102002103210 its reverse (12301200201), we get a palindrome (114303303411).

The spelling of 102002103210 in words is "one hundred two billion, two million, one hundred three thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 971 1942 2913 4855 5826 6797 9710 13594 14565 20391 29130 33985 40782 67970 101955 203910 500231 1000462 1500693 2501155 3001386 3501617 5002310 7003234 7503465 10504851 15006930 17508085 21009702 35016170 52524255 105048510 485724301 971448602 1457172903 2428621505 2914345806 3400070107 4857243010 6800140214 7285864515 10200210321 14571729030 17000350535 20400420642 34000701070 51001051605 102002103210