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102400110142 = 21124110320511
BaseRepresentation
bin101111101011110000…
…1011010111000111110
3100210022102212120101221
41133113201122320332
53134203412011032
6115013021423554
710253366401111
oct1372741327076
9323272776357
10102400110142
113a478213400
1217a1970abba
13986bb36565
144d55b0c578
1529e4cd3597
hex17d785ae3e

102400110142 has 24 divisors (see below), whose sum is σ = 172951140096. Its totient is φ = 45410244000.

The previous prime is 102400110119. The next prime is 102400110143. The reversal of 102400110142 is 241011004201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400110143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5150334 + ... + 5170177.

It is an arithmetic number, because the mean of its divisors is an integer number (7206297504).

Almost surely, 2102400110142 is an apocalyptic number.

102400110142 is a deficient number, since it is larger than the sum of its proper divisors (70551029954).

102400110142 is a wasteful number, since it uses less digits than its factorization.

102400110142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10320576 (or 10320565 counting only the distinct ones).

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

Adding to 102400110142 its reverse (241011004201), we get a palindrome (343411114343).

The spelling of 102400110142 in words is "one hundred two billion, four hundred million, one hundred ten thousand, one hundred forty-two".

Divisors: 1 2 11 22 41 82 121 242 451 902 4961 9922 10320511 20641022 113525621 227051242 423140951 846281902 1248781831 2497563662 4654550461 9309100922 51200055071 102400110142