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102103302 = 23719235563
BaseRepresentation
bin1100001010111…
…11100100000110
321010010101101210
412011133210012
5202114301202
614044232250
72346602160
oct605374406
9233111353
10102103302
11526a87a4
122a23b686
13181cbc72
14d7bb930
158e6cc6c
hex615f906

102103302 has 64 divisors (see below), whose sum is σ = 256389120. Its totient is φ = 26430624.

The previous prime is 102103291. The next prime is 102103303. The reversal of 102103302 is 203301201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102103303) 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 31 ways as a sum of consecutive naturals, for example, 15573 + ... + 21135.

It is an arithmetic number, because the mean of its divisors is an integer number (4006080).

Almost surely, 2102103302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102103302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128194560).

102103302 is an abundant number, since it is smaller than the sum of its proper divisors (154285818).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102103302 is a wasteful number, since it uses less digits than its factorization.

102103302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617.

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

The square root of 102103302 is about 10104.6178552185. The cubic root of 102103302 is about 467.3905519379.

Adding to 102103302 its reverse (203301201), we get a palindrome (305404503).

The spelling of 102103302 in words is "one hundred two million, one hundred three thousand, three hundred two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 322 399 437 483 798 874 966 1311 2622 3059 5563 6118 9177 11126 16689 18354 33378 38941 77882 105697 116823 127949 211394 233646 255898 317091 383847 634182 739879 767694 895643 1479758 1791286 2219637 2431031 2686929 4439274 4862062 5373858 7293093 14586186 17017217 34034434 51051651 102103302