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102210113114 = 21074998231163
BaseRepresentation
bin101111100110000110…
…0101000111001011010
3100202211012100201110222
41133030030220321122
53133311242104424
6114542113240042
710245601424654
oct1371414507132
9322735321428
10102210113114
113a38aa4286a
1217985b63022
13983b672295
144d387b16d4
1529d32a2e5e
hex17cc328e5a

102210113114 has 32 divisors (see below), whose sum is σ = 155380032000. Its totient is φ = 50421197232.

The previous prime is 102210113099. The next prime is 102210113171. The reversal of 102210113114 is 411311012201.

102210113114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1022101131143 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210113092 and 102210113101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 87884297 + ... + 87885459.

It is an arithmetic number, because the mean of its divisors is an integer number (4855626000).

Almost surely, 2102210113114 is an apocalyptic number.

102210113114 is a deficient number, since it is larger than the sum of its proper divisors (53169918886).

102210113114 is a wasteful number, since it uses less digits than its factorization.

102210113114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102210113114 its reverse (411311012201), we get a palindrome (513521125315).

The spelling of 102210113114 in words is "one hundred two billion, two hundred ten million, one hundred thirteen thousand, one hundred fourteen".

Divisors: 1 2 107 214 499 823 998 1163 1646 2326 53393 88061 106786 124441 176122 248882 410677 580337 821354 957149 1160674 1914298 43942439 62096059 87884878 102414943 124192118 204829886 477617351 955234702 51105056557 102210113114