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102342465 = 32517133781
BaseRepresentation
bin1100001100110…
…01111101000001
321010120112110200
412012121331001
5202144424330
614053315413
72351616351
oct606317501
9233515420
10102342465
1152851455
122a335b69
1318283a94
14d840b61
158eb8a60
hex6199f41

102342465 has 24 divisors (see below), whose sum is σ = 187829928. Its totient is φ = 51371520.

The previous prime is 102342463. The next prime is 102342467. The reversal of 102342465 is 564243201.

It is an interprime number because it is at equal distance from previous prime (102342463) and next prime (102342467).

It can be written as a sum of positive squares in 4 ways, for example, as 39425841 + 62916624 = 6279^2 + 7932^2 .

It is not a de Polignac number, because 102342465 - 21 = 102342463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102342463) 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 23 ways as a sum of consecutive naturals, for example, 66126 + ... + 67655.

It is an arithmetic number, because the mean of its divisors is an integer number (7826247).

Almost surely, 2102342465 is an apocalyptic number.

102342465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102342465 is a deficient number, since it is larger than the sum of its proper divisors (85487463).

102342465 is a wasteful number, since it uses less digits than its factorization.

102342465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133809 (or 133806 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 102342465 is about 10116.4452748977. The cubic root of 102342465 is about 467.7552001565.

Adding to 102342465 its reverse (564243201), we get a palindrome (666585666).

The spelling of 102342465 in words is "one hundred two million, three hundred forty-two thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 133781 401343 668905 1204029 2006715 2274277 6020145 6822831 11371385 20468493 34114155 102342465