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102435641 = 7117731721
BaseRepresentation
bin1100001101100…
…00101100111001
321010202021021122
412012300230321
5202210420031
614055315025
72352455120
oct606605471
9233667248
10102435641
1152905460
122a37ba75
13182b7309
14d866ab7
158ed647b
hex61b0b39

102435641 has 16 divisors (see below), whose sum is σ = 127951488. Its totient is φ = 79670400.

The previous prime is 102435637. The next prime is 102435643. The reversal of 102435641 is 146534201.

It is a cyclic number.

It is not a de Polignac number, because 102435641 - 22 = 102435637 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102435641.

It is not an unprimeable number, because it can be changed into a prime (102435643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58661 + ... + 60381.

It is an arithmetic number, because the mean of its divisors is an integer number (7996968).

Almost surely, 2102435641 is an apocalyptic number.

102435641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102435641 is a deficient number, since it is larger than the sum of its proper divisors (25515847).

102435641 is a wasteful number, since it uses less digits than its factorization.

102435641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 102435641 is about 10121.0494021124. The cubic root of 102435641 is about 467.8971104201.

Adding to 102435641 its reverse (146534201), we get a palindrome (248969842).

The spelling of 102435641 in words is "one hundred two million, four hundred thirty-five thousand, six hundred forty-one".

Divisors: 1 7 11 77 773 1721 5411 8503 12047 18931 59521 132517 1330333 9312331 14633663 102435641