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102230013 = 3197272467
BaseRepresentation
bin1100001011111…
…10011111111101
321010100211012210
412011332133331
5202132330023
614051051033
72350640454
oct605763775
9233324183
10102230013
1152784a16
122a2a0a79
1318244842
14d811b9b
158e95593
hex617e7fd

102230013 has 16 divisors (see below), whose sum is σ = 143736320. Its totient is φ = 64451376.

The previous prime is 102229997. The next prime is 102230039. The reversal of 102230013 is 310032201.

It is a happy number.

It is not a de Polignac number, because 102230013 - 24 = 102229997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102230053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40206 + ... + 42672.

It is an arithmetic number, because the mean of its divisors is an integer number (8983520).

Almost surely, 2102230013 is an apocalyptic number.

It is an amenable number.

102230013 is a deficient number, since it is larger than the sum of its proper divisors (41506307).

102230013 is a wasteful number, since it uses less digits than its factorization.

102230013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102230013 is about 10110.8858662335. The cubic root of 102230013 is about 467.5838171278.

Adding to 102230013 its reverse (310032201), we get a palindrome (412262214).

The spelling of 102230013 in words is "one hundred two million, two hundred thirty thousand, thirteen".

Divisors: 1 3 19 57 727 2181 2467 7401 13813 41439 46873 140619 1793509 5380527 34076671 102230013