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102131410 = 25174114653
BaseRepresentation
bin1100001011001…
…10011011010010
321010011210221211
412011212123102
5202121201120
614045010334
72350050133
oct605463322
9233153854
10102131410
1152717927
122a2539aa
131820b9b4
14d7c7c8a
158e7625a
hex61666d2

102131410 has 32 divisors (see below), whose sum is σ = 199411632. Its totient is φ = 37509120.

The previous prime is 102131389. The next prime is 102131411. The reversal of 102131410 is 14131201.

It can be written as a sum of positive squares in 8 ways, for example, as 47238129 + 54893281 = 6873^2 + 7409^2 .

It is not an unprimeable number, because it can be changed into a prime (102131411) 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, 357 + ... + 14296.

Almost surely, 2102131410 is an apocalyptic number.

102131410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102131410 is a deficient number, since it is larger than the sum of its proper divisors (97280222).

102131410 is a wasteful number, since it uses less digits than its factorization.

102131410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14718.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 102131410 is about 10106.0086087436. The cubic root of 102131410 is about 467.4334372904.

Adding to 102131410 its reverse (14131201), we get a palindrome (116262611).

The spelling of 102131410 in words is "one hundred two million, one hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 5 10 17 34 41 82 85 170 205 410 697 1394 3485 6970 14653 29306 73265 146530 249101 498202 600773 1201546 1245505 2491010 3003865 6007730 10213141 20426282 51065705 102131410