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102214410010 = 25192163173707
BaseRepresentation
bin101111100110001110…
…1000001111100011010
3100202211111110000201021
41133030131001330122
53133313342110020
6114542345313054
710245653102236
oct1371435017432
9322744400637
10102214410010
113a392408119
121798749578a
13983c51801b
144d391ad5c6
1529d38511aa
hex17cc741f1a

102214410010 has 48 divisors (see below), whose sum is σ = 195371472096. Its totient is φ = 38496028896.

The previous prime is 102214409971. The next prime is 102214410017. The reversal of 102214410010 is 10014412201.

It is a happy number.

It is a super-6 number, since 6×1022144100106 (a number of 67 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (102214410017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501577 + ... + 675283.

It is an arithmetic number, because the mean of its divisors is an integer number (4070239002).

Almost surely, 2102214410010 is an apocalyptic number.

102214410010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102214410010 is a deficient number, since it is larger than the sum of its proper divisors (93157062086).

102214410010 is a wasteful number, since it uses less digits than its factorization.

102214410010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173915 (or 173896 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102214410010 its reverse (10014412201), we get a palindrome (112228822211).

The spelling of 102214410010 in words is "one hundred two billion, two hundred fourteen million, four hundred ten thousand, ten".

Divisors: 1 2 5 10 19 38 95 163 190 326 361 722 815 1630 1805 3097 3610 6194 15485 30970 58843 117686 173707 294215 347414 588430 868535 1737070 3300433 6600866 16502165 28314241 33004330 56628482 62708227 125416454 141571205 283142410 313541135 537970579 627082270 1075941158 2689852895 5379705790 10221441001 20442882002 51107205005 102214410010