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102863141 = 1761281353
BaseRepresentation
bin1100010000110…
…01000100100101
321011112222200222
412020121010211
5202313110031
614112414125
72356215353
oct610310445
9234488628
10102863141
1153077667
122a547345
1318406a84
14d9387d3
15906ce7b
hex6219125

102863141 has 16 divisors (see below), whose sum is σ = 111408048. Its totient is φ = 94617600.

The previous prime is 102863129. The next prime is 102863161. The reversal of 102863141 is 141368201.

It can be written as a sum of positive squares in 8 ways, for example, as 1276900 + 101586241 = 1130^2 + 10079^2 .

It is a cyclic number.

It is not a de Polignac number, because 102863141 - 218 = 102600997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102863141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102863161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291221 + ... + 291573.

It is an arithmetic number, because the mean of its divisors is an integer number (6963003).

Almost surely, 2102863141 is an apocalyptic number.

It is an amenable number.

102863141 is a deficient number, since it is larger than the sum of its proper divisors (8544907).

102863141 is a wasteful number, since it uses less digits than its factorization.

102863141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 102863141 is about 10142.1467648620. The cubic root of 102863141 is about 468.5471068356.

The spelling of 102863141 in words is "one hundred two million, eight hundred sixty-three thousand, one hundred forty-one".

Divisors: 1 17 61 281 353 1037 4777 6001 17141 21533 99193 291397 366061 1686281 6050773 102863141