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102423313 = 1132413761
BaseRepresentation
bin1100001101011…
…01101100010001
321010201122101001
412012231230101
5202210021223
614055142001
72352404146
oct606555421
9233648331
10102423313
11528a7173
122a374901
13182b1815
14d8623cd
158ed29ad
hex61adb11

102423313 has 8 divisors (see below), whose sum is σ = 103786056. Its totient is φ = 101068800.

The previous prime is 102423257. The next prime is 102423323. The reversal of 102423313 is 313324201.

It can be written as a sum of positive squares in 4 ways, for example, as 2982529 + 99440784 = 1727^2 + 9972^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102423313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102423323) 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 7 ways as a sum of consecutive naturals, for example, 25353 + ... + 29113.

It is an arithmetic number, because the mean of its divisors is an integer number (12973257).

Almost surely, 2102423313 is an apocalyptic number.

It is an amenable number.

102423313 is a deficient number, since it is larger than the sum of its proper divisors (1362743).

102423313 is a wasteful number, since it uses less digits than its factorization.

102423313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 102423313 is about 10120.4403560319. The cubic root of 102423313 is about 467.8783393917.

Adding to 102423313 its reverse (313324201), we get a palindrome (415747514).

The spelling of 102423313 in words is "one hundred two million, four hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 113 241 3761 27233 424993 906401 102423313