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102323013 = 3133477561
BaseRepresentation
bin1100001100101…
…01001101000101
321010112112210020
412012111031011
5202143314023
614053045353
72351505552
oct606251505
9233475706
10102323013
1152838881
122a326859
1318277c80
14d837a29
158eb2de3
hex6195345

102323013 has 16 divisors (see below), whose sum is σ = 147368256. Its totient is φ = 62778240.

The previous prime is 102322993. The next prime is 102323041. The reversal of 102323013 is 310323201.

It is not a de Polignac number, because 102323013 - 217 = 102191941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102322983 and 102323001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102322013) 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, 9753 + ... + 17313.

It is an arithmetic number, because the mean of its divisors is an integer number (9210516).

Almost surely, 2102323013 is an apocalyptic number.

102323013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102323013 is a deficient number, since it is larger than the sum of its proper divisors (45045243).

102323013 is a wasteful number, since it uses less digits than its factorization.

102323013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7924.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 102323013 is about 10115.4838243161. The cubic root of 102323013 is about 467.7255632224.

Adding to 102323013 its reverse (310323201), we get a palindrome (412646214).

The spelling of 102323013 in words is "one hundred two million, three hundred twenty-three thousand, thirteen".

Divisors: 1 3 13 39 347 1041 4511 7561 13533 22683 98293 294879 2623667 7871001 34107671 102323013